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Finding the Third Proportional to 7,257 and 7,941

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Solution

The third proportional to 7,257 and 7,941 is: 8,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 7,941 = 7,941 : x
  2. Step 2: Convert to fraction form
    7,257/7,941 = 7,941/x
  3. Step 3: Cross multiply
    7,257x = 7,941 × 7,941
  4. Step 4: Simplify right side
    7,257x = 63,059,481
  5. Step 5: Solve for x
    x = 63,059,481/7,257
  6. Step 6: Final answer
    x = 8,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.