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Finding the Third Proportional to 2,501.72 and 3,759.47

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Solution

The third proportional to 2,501.72 and 3,759.47 is: 5,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.72 : 3,759.47 = 3,759.47 : x
  2. Step 2: Convert to fraction form
    2,501.72/3,759.47 = 3,759.47/x
  3. Step 3: Cross multiply
    2,501.72x = 3,759.47 × 3,759.47
  4. Step 4: Simplify right side
    2,501.72x = 14,133,605.28
  5. Step 5: Solve for x
    x = 14,133,605.28/2,501.72
  6. Step 6: Final answer
    x = 5,649.56

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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.