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Finding the Third Proportional to 726.05 and 1,468.97

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Solution

The third proportional to 726.05 and 1,468.97 is: 2,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.05 : 1,468.97 = 1,468.97 : x
  2. Step 2: Convert to fraction form
    726.05/1,468.97 = 1,468.97/x
  3. Step 3: Cross multiply
    726.05x = 1,468.97 × 1,468.97
  4. Step 4: Simplify right side
    726.05x = 2,157,869.19
  5. Step 5: Solve for x
    x = 2,157,869.19/726.05
  6. Step 6: Final answer
    x = 2,972.08

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.