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Finding the Third Proportional to 10,537 and 22,664

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Solution

The third proportional to 10,537 and 22,664 is: 48,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 22,664 = 22,664 : x
  2. Step 2: Convert to fraction form
    10,537/22,664 = 22,664/x
  3. Step 3: Cross multiply
    10,537x = 22,664 × 22,664
  4. Step 4: Simplify right side
    10,537x = 513,656,896
  5. Step 5: Solve for x
    x = 513,656,896/10,537
  6. Step 6: Final answer
    x = 48,747.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.