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Finding the Third Proportional to 30,628.13 and 47,197.69

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Solution

The third proportional to 30,628.13 and 47,197.69 is: 72,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.13 : 47,197.69 = 47,197.69 : x
  2. Step 2: Convert to fraction form
    30,628.13/47,197.69 = 47,197.69/x
  3. Step 3: Cross multiply
    30,628.13x = 47,197.69 × 47,197.69
  4. Step 4: Simplify right side
    30,628.13x = 2,227,621,705.35
  5. Step 5: Solve for x
    x = 2,227,621,705.35/30,628.13
  6. Step 6: Final answer
    x = 72,731.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.