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Finding the Third Proportional to 24,415 and 37,919

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Solution

The third proportional to 24,415 and 37,919 is: 58,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415 : 37,919 = 37,919 : x
  2. Step 2: Convert to fraction form
    24,415/37,919 = 37,919/x
  3. Step 3: Cross multiply
    24,415x = 37,919 × 37,919
  4. Step 4: Simplify right side
    24,415x = 1,437,850,561
  5. Step 5: Solve for x
    x = 1,437,850,561/24,415
  6. Step 6: Final answer
    x = 58,892.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.