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Finding the Third Proportional to 8,701 and 13,463

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Solution

The third proportional to 8,701 and 13,463 is: 20,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701 : 13,463 = 13,463 : x
  2. Step 2: Convert to fraction form
    8,701/13,463 = 13,463/x
  3. Step 3: Cross multiply
    8,701x = 13,463 × 13,463
  4. Step 4: Simplify right side
    8,701x = 181,252,369
  5. Step 5: Solve for x
    x = 181,252,369/8,701
  6. Step 6: Final answer
    x = 20,831.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.