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Finding the Third Proportional to 19,659.38 and 42,429.38

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Solution

The third proportional to 19,659.38 and 42,429.38 is: 91,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.38 : 42,429.38 = 42,429.38 : x
  2. Step 2: Convert to fraction form
    19,659.38/42,429.38 = 42,429.38/x
  3. Step 3: Cross multiply
    19,659.38x = 42,429.38 × 42,429.38
  4. Step 4: Simplify right side
    19,659.38x = 1,800,251,862.89
  5. Step 5: Solve for x
    x = 1,800,251,862.89/19,659.38
  6. Step 6: Final answer
    x = 91,572.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.