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Finding the Third Proportional to 14,292 and 31,353

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Solution

The third proportional to 14,292 and 31,353 is: 68,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292 : 31,353 = 31,353 : x
  2. Step 2: Convert to fraction form
    14,292/31,353 = 31,353/x
  3. Step 3: Cross multiply
    14,292x = 31,353 × 31,353
  4. Step 4: Simplify right side
    14,292x = 983,010,609
  5. Step 5: Solve for x
    x = 983,010,609/14,292
  6. Step 6: Final answer
    x = 68,780.48

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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.