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Finding the Third Proportional to 9,814 and 15,012

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Solution

The third proportional to 9,814 and 15,012 is: 22,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814 : 15,012 = 15,012 : x
  2. Step 2: Convert to fraction form
    9,814/15,012 = 15,012/x
  3. Step 3: Cross multiply
    9,814x = 15,012 × 15,012
  4. Step 4: Simplify right side
    9,814x = 225,360,144
  5. Step 5: Solve for x
    x = 225,360,144/9,814
  6. Step 6: Final answer
    x = 22,963.13

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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.