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Finding the Third Proportional to 38,402.25 and 79,468.13

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Solution

The third proportional to 38,402.25 and 79,468.13 is: 164,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.25 : 79,468.13 = 79,468.13 : x
  2. Step 2: Convert to fraction form
    38,402.25/79,468.13 = 79,468.13/x
  3. Step 3: Cross multiply
    38,402.25x = 79,468.13 × 79,468.13
  4. Step 4: Simplify right side
    38,402.25x = 6,315,182,891.02
  5. Step 5: Solve for x
    x = 6,315,182,891.02/38,402.25
  6. Step 6: Final answer
    x = 164,448.25

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.