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Finding the Third Proportional to 8,724 and 14,112

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Solution

The third proportional to 8,724 and 14,112 is: 22,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 14,112 = 14,112 : x
  2. Step 2: Convert to fraction form
    8,724/14,112 = 14,112/x
  3. Step 3: Cross multiply
    8,724x = 14,112 × 14,112
  4. Step 4: Simplify right side
    8,724x = 199,148,544
  5. Step 5: Solve for x
    x = 199,148,544/8,724
  6. Step 6: Final answer
    x = 22,827.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.