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Finding the Third Proportional to 1,382.06 and 1,904.13

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Solution

The third proportional to 1,382.06 and 1,904.13 is: 2,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.06 : 1,904.13 = 1,904.13 : x
  2. Step 2: Convert to fraction form
    1,382.06/1,904.13 = 1,904.13/x
  3. Step 3: Cross multiply
    1,382.06x = 1,904.13 × 1,904.13
  4. Step 4: Simplify right side
    1,382.06x = 3,625,721.77
  5. Step 5: Solve for x
    x = 3,625,721.77/1,382.06
  6. Step 6: Final answer
    x = 2,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.