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Finding the Third Proportional to 7,420 and 10,442

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Solution

The third proportional to 7,420 and 10,442 is: 14,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 10,442 = 10,442 : x
  2. Step 2: Convert to fraction form
    7,420/10,442 = 10,442/x
  3. Step 3: Cross multiply
    7,420x = 10,442 × 10,442
  4. Step 4: Simplify right side
    7,420x = 109,035,364
  5. Step 5: Solve for x
    x = 109,035,364/7,420
  6. Step 6: Final answer
    x = 14,694.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.