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Finding the Third Proportional to 1,500.96 and 3,261.48

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Solution

The third proportional to 1,500.96 and 3,261.48 is: 7,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.96 : 3,261.48 = 3,261.48 : x
  2. Step 2: Convert to fraction form
    1,500.96/3,261.48 = 3,261.48/x
  3. Step 3: Cross multiply
    1,500.96x = 3,261.48 × 3,261.48
  4. Step 4: Simplify right side
    1,500.96x = 10,637,254.85
  5. Step 5: Solve for x
    x = 10,637,254.85/1,500.96
  6. Step 6: Final answer
    x = 7,086.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.