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Finding the Third Proportional to 24,394.50 and 37,665

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Solution

The third proportional to 24,394.50 and 37,665 is: 58,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.50 : 37,665 = 37,665 : x
  2. Step 2: Convert to fraction form
    24,394.50/37,665 = 37,665/x
  3. Step 3: Cross multiply
    24,394.50x = 37,665 × 37,665
  4. Step 4: Simplify right side
    24,394.50x = 1,418,652,225
  5. Step 5: Solve for x
    x = 1,418,652,225/24,394.50
  6. Step 6: Final answer
    x = 58,154.59

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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.