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Finding the Third Proportional to 14,857 and 23,079

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Solution

The third proportional to 14,857 and 23,079 is: 35,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857 : 23,079 = 23,079 : x
  2. Step 2: Convert to fraction form
    14,857/23,079 = 23,079/x
  3. Step 3: Cross multiply
    14,857x = 23,079 × 23,079
  4. Step 4: Simplify right side
    14,857x = 532,640,241
  5. Step 5: Solve for x
    x = 532,640,241/14,857
  6. Step 6: Final answer
    x = 35,851.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.