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Finding the Third Proportional to 750.73 and 1,637.93

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Solution

The third proportional to 750.73 and 1,637.93 is: 3,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.73 : 1,637.93 = 1,637.93 : x
  2. Step 2: Convert to fraction form
    750.73/1,637.93 = 1,637.93/x
  3. Step 3: Cross multiply
    750.73x = 1,637.93 × 1,637.93
  4. Step 4: Simplify right side
    750.73x = 2,682,813.66
  5. Step 5: Solve for x
    x = 2,682,813.66/750.73
  6. Step 6: Final answer
    x = 3,573.62

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Why These Related Problems?

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