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Finding the Third Proportional to 20,537 and 22,697

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Solution

The third proportional to 20,537 and 22,697 is: 25,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537 : 22,697 = 22,697 : x
  2. Step 2: Convert to fraction form
    20,537/22,697 = 22,697/x
  3. Step 3: Cross multiply
    20,537x = 22,697 × 22,697
  4. Step 4: Simplify right side
    20,537x = 515,153,809
  5. Step 5: Solve for x
    x = 515,153,809/20,537
  6. Step 6: Final answer
    x = 25,084.18

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.