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Finding the Third Proportional to 8,640 and 13,131

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Solution

The third proportional to 8,640 and 13,131 is: 19,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640 : 13,131 = 13,131 : x
  2. Step 2: Convert to fraction form
    8,640/13,131 = 13,131/x
  3. Step 3: Cross multiply
    8,640x = 13,131 × 13,131
  4. Step 4: Simplify right side
    8,640x = 172,423,161
  5. Step 5: Solve for x
    x = 172,423,161/8,640
  6. Step 6: Final answer
    x = 19,956.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.