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Finding the Third Proportional to 5,514.75 and 6,675.75

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Solution

The third proportional to 5,514.75 and 6,675.75 is: 8,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.75 : 6,675.75 = 6,675.75 : x
  2. Step 2: Convert to fraction form
    5,514.75/6,675.75 = 6,675.75/x
  3. Step 3: Cross multiply
    5,514.75x = 6,675.75 × 6,675.75
  4. Step 4: Simplify right side
    5,514.75x = 44,565,638.06
  5. Step 5: Solve for x
    x = 44,565,638.06/5,514.75
  6. Step 6: Final answer
    x = 8,081.17

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.