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Finding the Third Proportional to 1,301.25 and 1,984.31

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Solution

The third proportional to 1,301.25 and 1,984.31 is: 3,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.25 : 1,984.31 = 1,984.31 : x
  2. Step 2: Convert to fraction form
    1,301.25/1,984.31 = 1,984.31/x
  3. Step 3: Cross multiply
    1,301.25x = 1,984.31 × 1,984.31
  4. Step 4: Simplify right side
    1,301.25x = 3,937,496.10
  5. Step 5: Solve for x
    x = 3,937,496.10/1,301.25
  6. Step 6: Final answer
    x = 3,025.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.