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Finding the Third Proportional to 24,357 and 37,359

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Solution

The third proportional to 24,357 and 37,359 is: 57,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357 : 37,359 = 37,359 : x
  2. Step 2: Convert to fraction form
    24,357/37,359 = 37,359/x
  3. Step 3: Cross multiply
    24,357x = 37,359 × 37,359
  4. Step 4: Simplify right side
    24,357x = 1,395,694,881
  5. Step 5: Solve for x
    x = 1,395,694,881/24,357
  6. Step 6: Final answer
    x = 57,301.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.