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Finding the Third Proportional to 30,547.55 and 47,884.92

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Solution

The third proportional to 30,547.55 and 47,884.92 is: 75,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.55 : 47,884.92 = 47,884.92 : x
  2. Step 2: Convert to fraction form
    30,547.55/47,884.92 = 47,884.92/x
  3. Step 3: Cross multiply
    30,547.55x = 47,884.92 × 47,884.92
  4. Step 4: Simplify right side
    30,547.55x = 2,292,965,742.97
  5. Step 5: Solve for x
    x = 2,292,965,742.97/30,547.55
  6. Step 6: Final answer
    x = 75,062.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.