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Finding the Third Proportional to 4,258.20 and 5,764.61

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Solution

The third proportional to 4,258.20 and 5,764.61 is: 7,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.20 : 5,764.61 = 5,764.61 : x
  2. Step 2: Convert to fraction form
    4,258.20/5,764.61 = 5,764.61/x
  3. Step 3: Cross multiply
    4,258.20x = 5,764.61 × 5,764.61
  4. Step 4: Simplify right side
    4,258.20x = 33,230,676.21
  5. Step 5: Solve for x
    x = 33,230,676.21/4,258.20
  6. Step 6: Final answer
    x = 7,803.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.