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Finding the Third Proportional to 39,585.38 and 59,305.50

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Solution

The third proportional to 39,585.38 and 59,305.50 is: 88,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,585.38 : 59,305.50 = 59,305.50 : x
  2. Step 2: Convert to fraction form
    39,585.38/59,305.50 = 59,305.50/x
  3. Step 3: Cross multiply
    39,585.38x = 59,305.50 × 59,305.50
  4. Step 4: Simplify right side
    39,585.38x = 3,517,142,330.25
  5. Step 5: Solve for x
    x = 3,517,142,330.25/39,585.38
  6. Step 6: Final answer
    x = 88,849.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.