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Finding the Third Proportional to 750.91 and 1,648.00

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Solution

The third proportional to 750.91 and 1,648.00 is: 3,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.91 : 1,648.00 = 1,648.00 : x
  2. Step 2: Convert to fraction form
    750.91/1,648.00 = 1,648.00/x
  3. Step 3: Cross multiply
    750.91x = 1,648.00 × 1,648.00
  4. Step 4: Simplify right side
    750.91x = 2,715,910.44
  5. Step 5: Solve for x
    x = 2,715,910.44/750.91
  6. Step 6: Final answer
    x = 3,616.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.