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Finding the Third Proportional to 8,460 and 13,161.38

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Solution

The third proportional to 8,460 and 13,161.38 is: 20,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 13,161.38 = 13,161.38 : x
  2. Step 2: Convert to fraction form
    8,460/13,161.38 = 13,161.38/x
  3. Step 3: Cross multiply
    8,460x = 13,161.38 × 13,161.38
  4. Step 4: Simplify right side
    8,460x = 173,221,791.89
  5. Step 5: Solve for x
    x = 173,221,791.89/8,460
  6. Step 6: Final answer
    x = 20,475.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.