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Finding the Third Proportional to 13,609.13 and 20,815.88

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Solution

The third proportional to 13,609.13 and 20,815.88 is: 31,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.13 : 20,815.88 = 20,815.88 : x
  2. Step 2: Convert to fraction form
    13,609.13/20,815.88 = 20,815.88/x
  3. Step 3: Cross multiply
    13,609.13x = 20,815.88 × 20,815.88
  4. Step 4: Simplify right side
    13,609.13x = 433,300,652.02
  5. Step 5: Solve for x
    x = 433,300,652.02/13,609.13
  6. Step 6: Final answer
    x = 31,838.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.