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Finding the Third Proportional to 24,914 and 37,468

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Solution

The third proportional to 24,914 and 37,468 is: 56,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914 : 37,468 = 37,468 : x
  2. Step 2: Convert to fraction form
    24,914/37,468 = 37,468/x
  3. Step 3: Cross multiply
    24,914x = 37,468 × 37,468
  4. Step 4: Simplify right side
    24,914x = 1,403,851,024
  5. Step 5: Solve for x
    x = 1,403,851,024/24,914
  6. Step 6: Final answer
    x = 56,347.88

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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.