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Finding the Third Proportional to 24,597 and 37,860.75

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Solution

The third proportional to 24,597 and 37,860.75 is: 58,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597 : 37,860.75 = 37,860.75 : x
  2. Step 2: Convert to fraction form
    24,597/37,860.75 = 37,860.75/x
  3. Step 3: Cross multiply
    24,597x = 37,860.75 × 37,860.75
  4. Step 4: Simplify right side
    24,597x = 1,433,436,390.56
  5. Step 5: Solve for x
    x = 1,433,436,390.56/24,597
  6. Step 6: Final answer
    x = 58,276.88

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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.