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Finding the Third Proportional to 15,114 and 21,246

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Solution

The third proportional to 15,114 and 21,246 is: 29,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 21,246 = 21,246 : x
  2. Step 2: Convert to fraction form
    15,114/21,246 = 21,246/x
  3. Step 3: Cross multiply
    15,114x = 21,246 × 21,246
  4. Step 4: Simplify right side
    15,114x = 451,392,516
  5. Step 5: Solve for x
    x = 451,392,516/15,114
  6. Step 6: Final answer
    x = 29,865.85

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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.