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Finding the Third Proportional to 28,547 and 60,730

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Solution

The third proportional to 28,547 and 60,730 is: 129,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547 : 60,730 = 60,730 : x
  2. Step 2: Convert to fraction form
    28,547/60,730 = 60,730/x
  3. Step 3: Cross multiply
    28,547x = 60,730 × 60,730
  4. Step 4: Simplify right side
    28,547x = 3,688,132,900
  5. Step 5: Solve for x
    x = 3,688,132,900/28,547
  6. Step 6: Final answer
    x = 129,195.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.