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Finding the Third Proportional to 24,644 and 37,918

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Solution

The third proportional to 24,644 and 37,918 is: 58,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644 : 37,918 = 37,918 : x
  2. Step 2: Convert to fraction form
    24,644/37,918 = 37,918/x
  3. Step 3: Cross multiply
    24,644x = 37,918 × 37,918
  4. Step 4: Simplify right side
    24,644x = 1,437,774,724
  5. Step 5: Solve for x
    x = 1,437,774,724/24,644
  6. Step 6: Final answer
    x = 58,341.78

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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.