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Finding the Third Proportional to 13,169.25 and 17,877.38

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Solution

The third proportional to 13,169.25 and 17,877.38 is: 24,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.25 : 17,877.38 = 17,877.38 : x
  2. Step 2: Convert to fraction form
    13,169.25/17,877.38 = 17,877.38/x
  3. Step 3: Cross multiply
    13,169.25x = 17,877.38 × 17,877.38
  4. Step 4: Simplify right side
    13,169.25x = 319,600,536.89
  5. Step 5: Solve for x
    x = 319,600,536.89/13,169.25
  6. Step 6: Final answer
    x = 24,268.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.