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Finding the Third Proportional to 4,060.13 and 5,158.69

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Solution

The third proportional to 4,060.13 and 5,158.69 is: 6,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.13 : 5,158.69 = 5,158.69 : x
  2. Step 2: Convert to fraction form
    4,060.13/5,158.69 = 5,158.69/x
  3. Step 3: Cross multiply
    4,060.13x = 5,158.69 × 5,158.69
  4. Step 4: Simplify right side
    4,060.13x = 26,612,056.72
  5. Step 5: Solve for x
    x = 26,612,056.72/4,060.13
  6. Step 6: Final answer
    x = 6,554.49

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.