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Finding the Third Proportional to 4,060.76 and 4,633.14

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Solution

The third proportional to 4,060.76 and 4,633.14 is: 5,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.76 : 4,633.14 = 4,633.14 : x
  2. Step 2: Convert to fraction form
    4,060.76/4,633.14 = 4,633.14/x
  3. Step 3: Cross multiply
    4,060.76x = 4,633.14 × 4,633.14
  4. Step 4: Simplify right side
    4,060.76x = 21,465,955.85
  5. Step 5: Solve for x
    x = 21,465,955.85/4,060.76
  6. Step 6: Final answer
    x = 5,286.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.