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Finding the Third Proportional to 38,983.50 and 59,295

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Solution

The third proportional to 38,983.50 and 59,295 is: 90,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983.50 : 59,295 = 59,295 : x
  2. Step 2: Convert to fraction form
    38,983.50/59,295 = 59,295/x
  3. Step 3: Cross multiply
    38,983.50x = 59,295 × 59,295
  4. Step 4: Simplify right side
    38,983.50x = 3,515,897,025
  5. Step 5: Solve for x
    x = 3,515,897,025/38,983.50
  6. Step 6: Final answer
    x = 90,189.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.