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Finding the Third Proportional to 9,063 and 10,683

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Solution

The third proportional to 9,063 and 10,683 is: 12,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063 : 10,683 = 10,683 : x
  2. Step 2: Convert to fraction form
    9,063/10,683 = 10,683/x
  3. Step 3: Cross multiply
    9,063x = 10,683 × 10,683
  4. Step 4: Simplify right side
    9,063x = 114,126,489
  5. Step 5: Solve for x
    x = 114,126,489/9,063
  6. Step 6: Final answer
    x = 12,592.57

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.