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Finding the Third Proportional to 22,506 and 29,781

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Solution

The third proportional to 22,506 and 29,781 is: 39,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506 : 29,781 = 29,781 : x
  2. Step 2: Convert to fraction form
    22,506/29,781 = 29,781/x
  3. Step 3: Cross multiply
    22,506x = 29,781 × 29,781
  4. Step 4: Simplify right side
    22,506x = 886,907,961
  5. Step 5: Solve for x
    x = 886,907,961/22,506
  6. Step 6: Final answer
    x = 39,407.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.