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Finding the Third Proportional to 36,031.50 and 54,877.50

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Solution

The third proportional to 36,031.50 and 54,877.50 is: 83,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031.50 : 54,877.50 = 54,877.50 : x
  2. Step 2: Convert to fraction form
    36,031.50/54,877.50 = 54,877.50/x
  3. Step 3: Cross multiply
    36,031.50x = 54,877.50 × 54,877.50
  4. Step 4: Simplify right side
    36,031.50x = 3,011,540,006.25
  5. Step 5: Solve for x
    x = 3,011,540,006.25/36,031.50
  6. Step 6: Final answer
    x = 83,580.76

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