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Finding the Third Proportional to 13,327.88 and 30,854.25

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Solution

The third proportional to 13,327.88 and 30,854.25 is: 71,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.88 : 30,854.25 = 30,854.25 : x
  2. Step 2: Convert to fraction form
    13,327.88/30,854.25 = 30,854.25/x
  3. Step 3: Cross multiply
    13,327.88x = 30,854.25 × 30,854.25
  4. Step 4: Simplify right side
    13,327.88x = 951,984,743.06
  5. Step 5: Solve for x
    x = 951,984,743.06/13,327.88
  6. Step 6: Final answer
    x = 71,428.10

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.