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Finding the Third Proportional to 10,270 and 15,314

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Solution

The third proportional to 10,270 and 15,314 is: 22,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270 : 15,314 = 15,314 : x
  2. Step 2: Convert to fraction form
    10,270/15,314 = 15,314/x
  3. Step 3: Cross multiply
    10,270x = 15,314 × 15,314
  4. Step 4: Simplify right side
    10,270x = 234,518,596
  5. Step 5: Solve for x
    x = 234,518,596/10,270
  6. Step 6: Final answer
    x = 22,835.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.