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Finding the Third Proportional to 9,306 and 11,034

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Solution

The third proportional to 9,306 and 11,034 is: 13,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 11,034 = 11,034 : x
  2. Step 2: Convert to fraction form
    9,306/11,034 = 11,034/x
  3. Step 3: Cross multiply
    9,306x = 11,034 × 11,034
  4. Step 4: Simplify right side
    9,306x = 121,749,156
  5. Step 5: Solve for x
    x = 121,749,156/9,306
  6. Step 6: Final answer
    x = 13,082.87

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.