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Finding the Third Proportional to 15,214 and 22,756

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Solution

The third proportional to 15,214 and 22,756 is: 34,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214 : 22,756 = 22,756 : x
  2. Step 2: Convert to fraction form
    15,214/22,756 = 22,756/x
  3. Step 3: Cross multiply
    15,214x = 22,756 × 22,756
  4. Step 4: Simplify right side
    15,214x = 517,835,536
  5. Step 5: Solve for x
    x = 517,835,536/15,214
  6. Step 6: Final answer
    x = 34,036.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.