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Finding the Third Proportional to 1,437.19 and 3,472.03

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Solution

The third proportional to 1,437.19 and 3,472.03 is: 8,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.19 : 3,472.03 = 3,472.03 : x
  2. Step 2: Convert to fraction form
    1,437.19/3,472.03 = 3,472.03/x
  3. Step 3: Cross multiply
    1,437.19x = 3,472.03 × 3,472.03
  4. Step 4: Simplify right side
    1,437.19x = 12,055,001.00
  5. Step 5: Solve for x
    x = 12,055,001.00/1,437.19
  6. Step 6: Final answer
    x = 8,387.91

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.