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Finding the Third Proportional to 14,264 and 31,292

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Solution

The third proportional to 14,264 and 31,292 is: 68,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264 : 31,292 = 31,292 : x
  2. Step 2: Convert to fraction form
    14,264/31,292 = 31,292/x
  3. Step 3: Cross multiply
    14,264x = 31,292 × 31,292
  4. Step 4: Simplify right side
    14,264x = 979,189,264
  5. Step 5: Solve for x
    x = 979,189,264/14,264
  6. Step 6: Final answer
    x = 68,647.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.