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Finding the Third Proportional to 5,454.25 and 5,909.75

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Solution

The third proportional to 5,454.25 and 5,909.75 is: 6,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.25 : 5,909.75 = 5,909.75 : x
  2. Step 2: Convert to fraction form
    5,454.25/5,909.75 = 5,909.75/x
  3. Step 3: Cross multiply
    5,454.25x = 5,909.75 × 5,909.75
  4. Step 4: Simplify right side
    5,454.25x = 34,925,145.06
  5. Step 5: Solve for x
    x = 34,925,145.06/5,454.25
  6. Step 6: Final answer
    x = 6,403.29

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.