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Finding the Third Proportional to 14,976 and 36,312

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Solution

The third proportional to 14,976 and 36,312 is: 88,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 36,312 = 36,312 : x
  2. Step 2: Convert to fraction form
    14,976/36,312 = 36,312/x
  3. Step 3: Cross multiply
    14,976x = 36,312 × 36,312
  4. Step 4: Simplify right side
    14,976x = 1,318,561,344
  5. Step 5: Solve for x
    x = 1,318,561,344/14,976
  6. Step 6: Final answer
    x = 88,044.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.