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Finding the Third Proportional to 24,594 and 37,860

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Solution

The third proportional to 24,594 and 37,860 is: 58,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 37,860 = 37,860 : x
  2. Step 2: Convert to fraction form
    24,594/37,860 = 37,860/x
  3. Step 3: Cross multiply
    24,594x = 37,860 × 37,860
  4. Step 4: Simplify right side
    24,594x = 1,433,379,600
  5. Step 5: Solve for x
    x = 1,433,379,600/24,594
  6. Step 6: Final answer
    x = 58,281.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.