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Finding the Third Proportional to 14,257 and 31,376

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Solution

The third proportional to 14,257 and 31,376 is: 69,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257 : 31,376 = 31,376 : x
  2. Step 2: Convert to fraction form
    14,257/31,376 = 31,376/x
  3. Step 3: Cross multiply
    14,257x = 31,376 × 31,376
  4. Step 4: Simplify right side
    14,257x = 984,453,376
  5. Step 5: Solve for x
    x = 984,453,376/14,257
  6. Step 6: Final answer
    x = 69,050.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.