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Finding the Third Proportional to 3,444.47 and 5,159.11

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Solution

The third proportional to 3,444.47 and 5,159.11 is: 7,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.47 : 5,159.11 = 5,159.11 : x
  2. Step 2: Convert to fraction form
    3,444.47/5,159.11 = 5,159.11/x
  3. Step 3: Cross multiply
    3,444.47x = 5,159.11 × 5,159.11
  4. Step 4: Simplify right side
    3,444.47x = 26,616,409.54
  5. Step 5: Solve for x
    x = 26,616,409.54/3,444.47
  6. Step 6: Final answer
    x = 7,727.29

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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.