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Finding the Third Proportional to 24,400 and 37,854

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Solution

The third proportional to 24,400 and 37,854 is: 58,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400 : 37,854 = 37,854 : x
  2. Step 2: Convert to fraction form
    24,400/37,854 = 37,854/x
  3. Step 3: Cross multiply
    24,400x = 37,854 × 37,854
  4. Step 4: Simplify right side
    24,400x = 1,432,925,316
  5. Step 5: Solve for x
    x = 1,432,925,316/24,400
  6. Step 6: Final answer
    x = 58,726.45

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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.