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Finding the Third Proportional to 14,310 and 22,112

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Solution

The third proportional to 14,310 and 22,112 is: 34,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 22,112 = 22,112 : x
  2. Step 2: Convert to fraction form
    14,310/22,112 = 22,112/x
  3. Step 3: Cross multiply
    14,310x = 22,112 × 22,112
  4. Step 4: Simplify right side
    14,310x = 488,940,544
  5. Step 5: Solve for x
    x = 488,940,544/14,310
  6. Step 6: Final answer
    x = 34,167.75

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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.