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Finding the Third Proportional to 22,707 and 34,069

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Solution

The third proportional to 22,707 and 34,069 is: 51,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707 : 34,069 = 34,069 : x
  2. Step 2: Convert to fraction form
    22,707/34,069 = 34,069/x
  3. Step 3: Cross multiply
    22,707x = 34,069 × 34,069
  4. Step 4: Simplify right side
    22,707x = 1,160,696,761
  5. Step 5: Solve for x
    x = 1,160,696,761/22,707
  6. Step 6: Final answer
    x = 51,116.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.