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Finding the Third Proportional to 7,344 and 15,406

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Solution

The third proportional to 7,344 and 15,406 is: 32,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344 : 15,406 = 15,406 : x
  2. Step 2: Convert to fraction form
    7,344/15,406 = 15,406/x
  3. Step 3: Cross multiply
    7,344x = 15,406 × 15,406
  4. Step 4: Simplify right side
    7,344x = 237,344,836
  5. Step 5: Solve for x
    x = 237,344,836/7,344
  6. Step 6: Final answer
    x = 32,318.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.