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Finding the Third Proportional to 7,386 and 8,475

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Solution

The third proportional to 7,386 and 8,475 is: 9,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386 : 8,475 = 8,475 : x
  2. Step 2: Convert to fraction form
    7,386/8,475 = 8,475/x
  3. Step 3: Cross multiply
    7,386x = 8,475 × 8,475
  4. Step 4: Simplify right side
    7,386x = 71,825,625
  5. Step 5: Solve for x
    x = 71,825,625/7,386
  6. Step 6: Final answer
    x = 9,724.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.