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Finding the Third Proportional to 1,060.31 and 1,445.25

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Solution

The third proportional to 1,060.31 and 1,445.25 is: 1,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.31 : 1,445.25 = 1,445.25 : x
  2. Step 2: Convert to fraction form
    1,060.31/1,445.25 = 1,445.25/x
  3. Step 3: Cross multiply
    1,060.31x = 1,445.25 × 1,445.25
  4. Step 4: Simplify right side
    1,060.31x = 2,088,747.56
  5. Step 5: Solve for x
    x = 2,088,747.56/1,060.31
  6. Step 6: Final answer
    x = 1,969.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.