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Finding the Third Proportional to 9,306.14 and 14,202.69

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Solution

The third proportional to 9,306.14 and 14,202.69 is: 21,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.14 : 14,202.69 = 14,202.69 : x
  2. Step 2: Convert to fraction form
    9,306.14/14,202.69 = 14,202.69/x
  3. Step 3: Cross multiply
    9,306.14x = 14,202.69 × 14,202.69
  4. Step 4: Simplify right side
    9,306.14x = 201,716,276.74
  5. Step 5: Solve for x
    x = 201,716,276.74/9,306.14
  6. Step 6: Final answer
    x = 21,675.61

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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.