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Finding the Third Proportional to 56,743.50 and 82,451

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Solution

The third proportional to 56,743.50 and 82,451 is: 119,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,743.50 : 82,451 = 82,451 : x
  2. Step 2: Convert to fraction form
    56,743.50/82,451 = 82,451/x
  3. Step 3: Cross multiply
    56,743.50x = 82,451 × 82,451
  4. Step 4: Simplify right side
    56,743.50x = 6,798,167,401
  5. Step 5: Solve for x
    x = 6,798,167,401/56,743.50
  6. Step 6: Final answer
    x = 119,805.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.