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Finding the Third Proportional to 1,502.72 and 2,260.41

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Solution

The third proportional to 1,502.72 and 2,260.41 is: 3,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.72 : 2,260.41 = 2,260.41 : x
  2. Step 2: Convert to fraction form
    1,502.72/2,260.41 = 2,260.41/x
  3. Step 3: Cross multiply
    1,502.72x = 2,260.41 × 2,260.41
  4. Step 4: Simplify right side
    1,502.72x = 5,109,436.42
  5. Step 5: Solve for x
    x = 5,109,436.42/1,502.72
  6. Step 6: Final answer
    x = 3,400.13

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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.