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Finding the Third Proportional to 9,246.38 and 13,854.38

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Solution

The third proportional to 9,246.38 and 13,854.38 is: 20,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.38 : 13,854.38 = 13,854.38 : x
  2. Step 2: Convert to fraction form
    9,246.38/13,854.38 = 13,854.38/x
  3. Step 3: Cross multiply
    9,246.38x = 13,854.38 × 13,854.38
  4. Step 4: Simplify right side
    9,246.38x = 191,943,706.64
  5. Step 5: Solve for x
    x = 191,943,706.64/9,246.38
  6. Step 6: Final answer
    x = 20,758.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.