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Finding the Third Proportional to 14,967 and 23,517

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Solution

The third proportional to 14,967 and 23,517 is: 36,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967 : 23,517 = 23,517 : x
  2. Step 2: Convert to fraction form
    14,967/23,517 = 23,517/x
  3. Step 3: Cross multiply
    14,967x = 23,517 × 23,517
  4. Step 4: Simplify right side
    14,967x = 553,049,289
  5. Step 5: Solve for x
    x = 553,049,289/14,967
  6. Step 6: Final answer
    x = 36,951.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.