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Finding the Third Proportional to 3,437.81 and 5,362.17

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Solution

The third proportional to 3,437.81 and 5,362.17 is: 8,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.81 : 5,362.17 = 5,362.17 : x
  2. Step 2: Convert to fraction form
    3,437.81/5,362.17 = 5,362.17/x
  3. Step 3: Cross multiply
    3,437.81x = 5,362.17 × 5,362.17
  4. Step 4: Simplify right side
    3,437.81x = 28,752,887.22
  5. Step 5: Solve for x
    x = 28,752,887.22/3,437.81
  6. Step 6: Final answer
    x = 8,363.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.