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Finding the Third Proportional to 14,972 and 22,856

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Solution

The third proportional to 14,972 and 22,856 is: 34,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972 : 22,856 = 22,856 : x
  2. Step 2: Convert to fraction form
    14,972/22,856 = 22,856/x
  3. Step 3: Cross multiply
    14,972x = 22,856 × 22,856
  4. Step 4: Simplify right side
    14,972x = 522,396,736
  5. Step 5: Solve for x
    x = 522,396,736/14,972
  6. Step 6: Final answer
    x = 34,891.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.