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Finding the Third Proportional to 7,261 and 8,017

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Solution

The third proportional to 7,261 and 8,017 is: 8,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261 : 8,017 = 8,017 : x
  2. Step 2: Convert to fraction form
    7,261/8,017 = 8,017/x
  3. Step 3: Cross multiply
    7,261x = 8,017 × 8,017
  4. Step 4: Simplify right side
    7,261x = 64,272,289
  5. Step 5: Solve for x
    x = 64,272,289/7,261
  6. Step 6: Final answer
    x = 8,851.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.