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Finding the Third Proportional to 38,218.50 and 59,031.75

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Solution

The third proportional to 38,218.50 and 59,031.75 is: 91,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,218.50 : 59,031.75 = 59,031.75 : x
  2. Step 2: Convert to fraction form
    38,218.50/59,031.75 = 59,031.75/x
  3. Step 3: Cross multiply
    38,218.50x = 59,031.75 × 59,031.75
  4. Step 4: Simplify right side
    38,218.50x = 3,484,747,508.06
  5. Step 5: Solve for x
    x = 3,484,747,508.06/38,218.50
  6. Step 6: Final answer
    x = 91,179.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.