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Finding the Third Proportional to 750.52 and 1,637.72

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Solution

The third proportional to 750.52 and 1,637.72 is: 3,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,637.72 = 1,637.72 : x
  2. Step 2: Convert to fraction form
    750.52/1,637.72 = 1,637.72/x
  3. Step 3: Cross multiply
    750.52x = 1,637.72 × 1,637.72
  4. Step 4: Simplify right side
    750.52x = 2,682,122.70
  5. Step 5: Solve for x
    x = 2,682,122.70/750.52
  6. Step 6: Final answer
    x = 3,573.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.