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Finding the Third Proportional to 1,562.25 and 3,438.75

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Solution

The third proportional to 1,562.25 and 3,438.75 is: 7,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.25 : 3,438.75 = 3,438.75 : x
  2. Step 2: Convert to fraction form
    1,562.25/3,438.75 = 3,438.75/x
  3. Step 3: Cross multiply
    1,562.25x = 3,438.75 × 3,438.75
  4. Step 4: Simplify right side
    1,562.25x = 11,825,001.56
  5. Step 5: Solve for x
    x = 11,825,001.56/1,562.25
  6. Step 6: Final answer
    x = 7,569.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.