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Finding the Third Proportional to 9,306.25 and 14,391.38

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Solution

The third proportional to 9,306.25 and 14,391.38 is: 22,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.25 : 14,391.38 = 14,391.38 : x
  2. Step 2: Convert to fraction form
    9,306.25/14,391.38 = 14,391.38/x
  3. Step 3: Cross multiply
    9,306.25x = 14,391.38 × 14,391.38
  4. Step 4: Simplify right side
    9,306.25x = 207,111,674.39
  5. Step 5: Solve for x
    x = 207,111,674.39/9,306.25
  6. Step 6: Final answer
    x = 22,255.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.