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Finding the Third Proportional to 13,337.63 and 30,877.13

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Solution

The third proportional to 13,337.63 and 30,877.13 is: 71,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337.63 : 30,877.13 = 30,877.13 : x
  2. Step 2: Convert to fraction form
    13,337.63/30,877.13 = 30,877.13/x
  3. Step 3: Cross multiply
    13,337.63x = 30,877.13 × 30,877.13
  4. Step 4: Simplify right side
    13,337.63x = 953,396,848.27
  5. Step 5: Solve for x
    x = 953,396,848.27/13,337.63
  6. Step 6: Final answer
    x = 71,481.76

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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.