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Finding the Third Proportional to 7,332 and 10,446.75

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Solution

The third proportional to 7,332 and 10,446.75 is: 14,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 10,446.75 = 10,446.75 : x
  2. Step 2: Convert to fraction form
    7,332/10,446.75 = 10,446.75/x
  3. Step 3: Cross multiply
    7,332x = 10,446.75 × 10,446.75
  4. Step 4: Simplify right side
    7,332x = 109,134,585.56
  5. Step 5: Solve for x
    x = 109,134,585.56/7,332
  6. Step 6: Final answer
    x = 14,884.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.