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Finding the Third Proportional to 37,057.50 and 54,351

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Solution

The third proportional to 37,057.50 and 54,351 is: 79,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,057.50 : 54,351 = 54,351 : x
  2. Step 2: Convert to fraction form
    37,057.50/54,351 = 54,351/x
  3. Step 3: Cross multiply
    37,057.50x = 54,351 × 54,351
  4. Step 4: Simplify right side
    37,057.50x = 2,954,031,201
  5. Step 5: Solve for x
    x = 2,954,031,201/37,057.50
  6. Step 6: Final answer
    x = 79,714.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.