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Finding the Third Proportional to 24,975 and 37,458

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Solution

The third proportional to 24,975 and 37,458 is: 56,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975 : 37,458 = 37,458 : x
  2. Step 2: Convert to fraction form
    24,975/37,458 = 37,458/x
  3. Step 3: Cross multiply
    24,975x = 37,458 × 37,458
  4. Step 4: Simplify right side
    24,975x = 1,403,101,764
  5. Step 5: Solve for x
    x = 1,403,101,764/24,975
  6. Step 6: Final answer
    x = 56,180.25

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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.