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Finding the Third Proportional to 1,726.03 and 3,727.78

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Solution

The third proportional to 1,726.03 and 3,727.78 is: 8,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.03 : 3,727.78 = 3,727.78 : x
  2. Step 2: Convert to fraction form
    1,726.03/3,727.78 = 3,727.78/x
  3. Step 3: Cross multiply
    1,726.03x = 3,727.78 × 3,727.78
  4. Step 4: Simplify right side
    1,726.03x = 13,896,353.05
  5. Step 5: Solve for x
    x = 13,896,353.05/1,726.03
  6. Step 6: Final answer
    x = 8,051.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.