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Finding the Third Proportional to 32,401.13 and 52,908.19

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Solution

The third proportional to 32,401.13 and 52,908.19 is: 86,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.13 : 52,908.19 = 52,908.19 : x
  2. Step 2: Convert to fraction form
    32,401.13/52,908.19 = 52,908.19/x
  3. Step 3: Cross multiply
    32,401.13x = 52,908.19 × 52,908.19
  4. Step 4: Simplify right side
    32,401.13x = 2,799,276,304.54
  5. Step 5: Solve for x
    x = 2,799,276,304.54/32,401.13
  6. Step 6: Final answer
    x = 86,394.42

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.