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Finding the Third Proportional to 24,592 and 37,976

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Solution

The third proportional to 24,592 and 37,976 is: 58,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592 : 37,976 = 37,976 : x
  2. Step 2: Convert to fraction form
    24,592/37,976 = 37,976/x
  3. Step 3: Cross multiply
    24,592x = 37,976 × 37,976
  4. Step 4: Simplify right side
    24,592x = 1,442,176,576
  5. Step 5: Solve for x
    x = 1,442,176,576/24,592
  6. Step 6: Final answer
    x = 58,644.14

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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.