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Finding the Third Proportional to 1,472.06 and 3,202.31

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Solution

The third proportional to 1,472.06 and 3,202.31 is: 6,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.06 : 3,202.31 = 3,202.31 : x
  2. Step 2: Convert to fraction form
    1,472.06/3,202.31 = 3,202.31/x
  3. Step 3: Cross multiply
    1,472.06x = 3,202.31 × 3,202.31
  4. Step 4: Simplify right side
    1,472.06x = 10,254,805.35
  5. Step 5: Solve for x
    x = 10,254,805.35/1,472.06
  6. Step 6: Final answer
    x = 6,966.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.