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Finding the Third Proportional to 7,578 and 10,386

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Solution

The third proportional to 7,578 and 10,386 is: 14,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 10,386 = 10,386 : x
  2. Step 2: Convert to fraction form
    7,578/10,386 = 10,386/x
  3. Step 3: Cross multiply
    7,578x = 10,386 × 10,386
  4. Step 4: Simplify right side
    7,578x = 107,868,996
  5. Step 5: Solve for x
    x = 107,868,996/7,578
  6. Step 6: Final answer
    x = 14,234.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.