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Finding the Third Proportional to 4,510.69 and 5,961.09

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Solution

The third proportional to 4,510.69 and 5,961.09 is: 7,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 5,961.09 = 5,961.09 : x
  2. Step 2: Convert to fraction form
    4,510.69/5,961.09 = 5,961.09/x
  3. Step 3: Cross multiply
    4,510.69x = 5,961.09 × 5,961.09
  4. Step 4: Simplify right side
    4,510.69x = 35,534,638.70
  5. Step 5: Solve for x
    x = 35,534,638.70/4,510.69
  6. Step 6: Final answer
    x = 7,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.