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Finding the Third Proportional to 14,272 and 29,312

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Solution

The third proportional to 14,272 and 29,312 is: 60,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272 : 29,312 = 29,312 : x
  2. Step 2: Convert to fraction form
    14,272/29,312 = 29,312/x
  3. Step 3: Cross multiply
    14,272x = 29,312 × 29,312
  4. Step 4: Simplify right side
    14,272x = 859,193,344
  5. Step 5: Solve for x
    x = 859,193,344/14,272
  6. Step 6: Final answer
    x = 60,201.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.