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Finding the Third Proportional to 27,507.38 and 45,511.88

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Solution

The third proportional to 27,507.38 and 45,511.88 is: 75,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.38 : 45,511.88 = 45,511.88 : x
  2. Step 2: Convert to fraction form
    27,507.38/45,511.88 = 45,511.88/x
  3. Step 3: Cross multiply
    27,507.38x = 45,511.88 × 45,511.88
  4. Step 4: Simplify right side
    27,507.38x = 2,071,330,766.02
  5. Step 5: Solve for x
    x = 2,071,330,766.02/27,507.38
  6. Step 6: Final answer
    x = 75,300.92

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.