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Finding the Third Proportional to 13,134.19 and 19,654.88

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Solution

The third proportional to 13,134.19 and 19,654.88 is: 29,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.19 : 19,654.88 = 19,654.88 : x
  2. Step 2: Convert to fraction form
    13,134.19/19,654.88 = 19,654.88/x
  3. Step 3: Cross multiply
    13,134.19x = 19,654.88 × 19,654.88
  4. Step 4: Simplify right side
    13,134.19x = 386,314,111.27
  5. Step 5: Solve for x
    x = 386,314,111.27/13,134.19
  6. Step 6: Final answer
    x = 29,412.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.