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Finding the Third Proportional to 3,505.15 and 5,271.96

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Solution

The third proportional to 3,505.15 and 5,271.96 is: 7,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.15 : 5,271.96 = 5,271.96 : x
  2. Step 2: Convert to fraction form
    3,505.15/5,271.96 = 5,271.96/x
  3. Step 3: Cross multiply
    3,505.15x = 5,271.96 × 5,271.96
  4. Step 4: Simplify right side
    3,505.15x = 27,793,572.13
  5. Step 5: Solve for x
    x = 27,793,572.13/3,505.15
  6. Step 6: Final answer
    x = 7,929.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.