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Finding the Third Proportional to 1,132.31 and 1,705.22

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Solution

The third proportional to 1,132.31 and 1,705.22 is: 2,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.31 : 1,705.22 = 1,705.22 : x
  2. Step 2: Convert to fraction form
    1,132.31/1,705.22 = 1,705.22/x
  3. Step 3: Cross multiply
    1,132.31x = 1,705.22 × 1,705.22
  4. Step 4: Simplify right side
    1,132.31x = 2,907,770.99
  5. Step 5: Solve for x
    x = 2,907,770.99/1,132.31
  6. Step 6: Final answer
    x = 2,567.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.