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Finding the Third Proportional to 1,382.51 and 2,073.92

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Solution

The third proportional to 1,382.51 and 2,073.92 is: 3,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.51 : 2,073.92 = 2,073.92 : x
  2. Step 2: Convert to fraction form
    1,382.51/2,073.92 = 2,073.92/x
  3. Step 3: Cross multiply
    1,382.51x = 2,073.92 × 2,073.92
  4. Step 4: Simplify right side
    1,382.51x = 4,301,162.07
  5. Step 5: Solve for x
    x = 4,301,162.07/1,382.51
  6. Step 6: Final answer
    x = 3,111.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.