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Finding the Third Proportional to 39,153.38 and 59,648.06

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Solution

The third proportional to 39,153.38 and 59,648.06 is: 90,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,153.38 : 59,648.06 = 59,648.06 : x
  2. Step 2: Convert to fraction form
    39,153.38/59,648.06 = 59,648.06/x
  3. Step 3: Cross multiply
    39,153.38x = 59,648.06 × 59,648.06
  4. Step 4: Simplify right side
    39,153.38x = 3,557,891,360.00
  5. Step 5: Solve for x
    x = 3,557,891,360.00/39,153.38
  6. Step 6: Final answer
    x = 90,870.62

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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.