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Finding the Third Proportional to 4,151.88 and 5,449.35

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Solution

The third proportional to 4,151.88 and 5,449.35 is: 7,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.88 : 5,449.35 = 5,449.35 : x
  2. Step 2: Convert to fraction form
    4,151.88/5,449.35 = 5,449.35/x
  3. Step 3: Cross multiply
    4,151.88x = 5,449.35 × 5,449.35
  4. Step 4: Simplify right side
    4,151.88x = 29,695,373.91
  5. Step 5: Solve for x
    x = 29,695,373.91/4,151.88
  6. Step 6: Final answer
    x = 7,152.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.