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Finding the Third Proportional to 15,342 and 21,600

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Solution

The third proportional to 15,342 and 21,600 is: 30,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 21,600 = 21,600 : x
  2. Step 2: Convert to fraction form
    15,342/21,600 = 21,600/x
  3. Step 3: Cross multiply
    15,342x = 21,600 × 21,600
  4. Step 4: Simplify right side
    15,342x = 466,560,000
  5. Step 5: Solve for x
    x = 466,560,000/15,342
  6. Step 6: Final answer
    x = 30,410.64

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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.