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Finding the Third Proportional to 1,750.88 and 2,711.06

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Solution

The third proportional to 1,750.88 and 2,711.06 is: 4,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.88 : 2,711.06 = 2,711.06 : x
  2. Step 2: Convert to fraction form
    1,750.88/2,711.06 = 2,711.06/x
  3. Step 3: Cross multiply
    1,750.88x = 2,711.06 × 2,711.06
  4. Step 4: Simplify right side
    1,750.88x = 7,349,859.88
  5. Step 5: Solve for x
    x = 7,349,859.88/1,750.88
  6. Step 6: Final answer
    x = 4,197.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.