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Finding the Third Proportional to 4,951.13 and 10,508.91

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Solution

The third proportional to 4,951.13 and 10,508.91 is: 22,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.13 : 10,508.91 = 10,508.91 : x
  2. Step 2: Convert to fraction form
    4,951.13/10,508.91 = 10,508.91/x
  3. Step 3: Cross multiply
    4,951.13x = 10,508.91 × 10,508.91
  4. Step 4: Simplify right side
    4,951.13x = 110,437,110.57
  5. Step 5: Solve for x
    x = 110,437,110.57/4,951.13
  6. Step 6: Final answer
    x = 22,305.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.