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Finding the Third Proportional to 15,969 and 34,730

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Solution

The third proportional to 15,969 and 34,730 is: 75,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969 : 34,730 = 34,730 : x
  2. Step 2: Convert to fraction form
    15,969/34,730 = 34,730/x
  3. Step 3: Cross multiply
    15,969x = 34,730 × 34,730
  4. Step 4: Simplify right side
    15,969x = 1,206,172,900
  5. Step 5: Solve for x
    x = 1,206,172,900/15,969
  6. Step 6: Final answer
    x = 75,532.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.