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Finding the Third Proportional to 3,409.59 and 3,721.78

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Solution

The third proportional to 3,409.59 and 3,721.78 is: 4,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.59 : 3,721.78 = 3,721.78 : x
  2. Step 2: Convert to fraction form
    3,409.59/3,721.78 = 3,721.78/x
  3. Step 3: Cross multiply
    3,409.59x = 3,721.78 × 3,721.78
  4. Step 4: Simplify right side
    3,409.59x = 13,851,655.67
  5. Step 5: Solve for x
    x = 13,851,655.67/3,409.59
  6. Step 6: Final answer
    x = 4,062.55

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.