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Finding the Third Proportional to 20,029.50 and 37,791

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Solution

The third proportional to 20,029.50 and 37,791 is: 71,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.50 : 37,791 = 37,791 : x
  2. Step 2: Convert to fraction form
    20,029.50/37,791 = 37,791/x
  3. Step 3: Cross multiply
    20,029.50x = 37,791 × 37,791
  4. Step 4: Simplify right side
    20,029.50x = 1,428,159,681
  5. Step 5: Solve for x
    x = 1,428,159,681/20,029.50
  6. Step 6: Final answer
    x = 71,302.81

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.