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Finding the Third Proportional to 24,916 and 37,446

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Solution

The third proportional to 24,916 and 37,446 is: 56,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916 : 37,446 = 37,446 : x
  2. Step 2: Convert to fraction form
    24,916/37,446 = 37,446/x
  3. Step 3: Cross multiply
    24,916x = 37,446 × 37,446
  4. Step 4: Simplify right side
    24,916x = 1,402,202,916
  5. Step 5: Solve for x
    x = 1,402,202,916/24,916
  6. Step 6: Final answer
    x = 56,277.21

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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.