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Finding the Third Proportional to 15,854 and 37,493

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Solution

The third proportional to 15,854 and 37,493 is: 88,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854 : 37,493 = 37,493 : x
  2. Step 2: Convert to fraction form
    15,854/37,493 = 37,493/x
  3. Step 3: Cross multiply
    15,854x = 37,493 × 37,493
  4. Step 4: Simplify right side
    15,854x = 1,405,725,049
  5. Step 5: Solve for x
    x = 1,405,725,049/15,854
  6. Step 6: Final answer
    x = 88,666.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.