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Finding the Third Proportional to 5,761.13 and 12,258.84

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Solution

The third proportional to 5,761.13 and 12,258.84 is: 26,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 12,258.84 = 12,258.84 : x
  2. Step 2: Convert to fraction form
    5,761.13/12,258.84 = 12,258.84/x
  3. Step 3: Cross multiply
    5,761.13x = 12,258.84 × 12,258.84
  4. Step 4: Simplify right side
    5,761.13x = 150,279,250.09
  5. Step 5: Solve for x
    x = 150,279,250.09/5,761.13
  6. Step 6: Final answer
    x = 26,085.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.