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Finding the Third Proportional to 49,500.38 and 65,638.13

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Solution

The third proportional to 49,500.38 and 65,638.13 is: 87,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500.38 : 65,638.13 = 65,638.13 : x
  2. Step 2: Convert to fraction form
    49,500.38/65,638.13 = 65,638.13/x
  3. Step 3: Cross multiply
    49,500.38x = 65,638.13 × 65,638.13
  4. Step 4: Simplify right side
    49,500.38x = 4,308,363,453.52
  5. Step 5: Solve for x
    x = 4,308,363,453.52/49,500.38
  6. Step 6: Final answer
    x = 87,036.99

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.