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Finding the Third Proportional to 7,017 and 10,643

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Solution

The third proportional to 7,017 and 10,643 is: 16,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017 : 10,643 = 10,643 : x
  2. Step 2: Convert to fraction form
    7,017/10,643 = 10,643/x
  3. Step 3: Cross multiply
    7,017x = 10,643 × 10,643
  4. Step 4: Simplify right side
    7,017x = 113,273,449
  5. Step 5: Solve for x
    x = 113,273,449/7,017
  6. Step 6: Final answer
    x = 16,142.72

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Why These Related Problems?

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