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Finding the Third Proportional to 30,547.13 and 32,734.13

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Solution

The third proportional to 30,547.13 and 32,734.13 is: 35,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.13 : 32,734.13 = 32,734.13 : x
  2. Step 2: Convert to fraction form
    30,547.13/32,734.13 = 32,734.13/x
  3. Step 3: Cross multiply
    30,547.13x = 32,734.13 × 32,734.13
  4. Step 4: Simplify right side
    30,547.13x = 1,071,522,939.52
  5. Step 5: Solve for x
    x = 1,071,522,939.52/30,547.13
  6. Step 6: Final answer
    x = 35,077.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.