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Finding the Third Proportional to 12,815 and 28,414

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Solution

The third proportional to 12,815 and 28,414 is: 63,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815 : 28,414 = 28,414 : x
  2. Step 2: Convert to fraction form
    12,815/28,414 = 28,414/x
  3. Step 3: Cross multiply
    12,815x = 28,414 × 28,414
  4. Step 4: Simplify right side
    12,815x = 807,355,396
  5. Step 5: Solve for x
    x = 807,355,396/12,815
  6. Step 6: Final answer
    x = 63,000.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.