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Finding the Third Proportional to 19,643.13 and 42,400.65

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Solution

The third proportional to 19,643.13 and 42,400.65 is: 91,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.13 : 42,400.65 = 42,400.65 : x
  2. Step 2: Convert to fraction form
    19,643.13/42,400.65 = 42,400.65/x
  3. Step 3: Cross multiply
    19,643.13x = 42,400.65 × 42,400.65
  4. Step 4: Simplify right side
    19,643.13x = 1,797,815,319.18
  5. Step 5: Solve for x
    x = 1,797,815,319.18/19,643.13
  6. Step 6: Final answer
    x = 91,523.86

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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.