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Finding the Third Proportional to 7,214 and 10,548

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Solution

The third proportional to 7,214 and 10,548 is: 15,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 10,548 = 10,548 : x
  2. Step 2: Convert to fraction form
    7,214/10,548 = 10,548/x
  3. Step 3: Cross multiply
    7,214x = 10,548 × 10,548
  4. Step 4: Simplify right side
    7,214x = 111,260,304
  5. Step 5: Solve for x
    x = 111,260,304/7,214
  6. Step 6: Final answer
    x = 15,422.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.