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Finding the Third Proportional to 24,222 and 37,737

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Solution

The third proportional to 24,222 and 37,737 is: 58,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 37,737 = 37,737 : x
  2. Step 2: Convert to fraction form
    24,222/37,737 = 37,737/x
  3. Step 3: Cross multiply
    24,222x = 37,737 × 37,737
  4. Step 4: Simplify right side
    24,222x = 1,424,081,169
  5. Step 5: Solve for x
    x = 1,424,081,169/24,222
  6. Step 6: Final answer
    x = 58,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.