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Finding the Third Proportional to 9,708.61 and 20,951.16

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Solution

The third proportional to 9,708.61 and 20,951.16 is: 45,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.61 : 20,951.16 = 20,951.16 : x
  2. Step 2: Convert to fraction form
    9,708.61/20,951.16 = 20,951.16/x
  3. Step 3: Cross multiply
    9,708.61x = 20,951.16 × 20,951.16
  4. Step 4: Simplify right side
    9,708.61x = 438,950,948.21
  5. Step 5: Solve for x
    x = 438,950,948.21/9,708.61
  6. Step 6: Final answer
    x = 45,212.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.