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Finding the Third Proportional to 2,037.75 and 2,752.88

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Solution

The third proportional to 2,037.75 and 2,752.88 is: 3,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.75 : 2,752.88 = 2,752.88 : x
  2. Step 2: Convert to fraction form
    2,037.75/2,752.88 = 2,752.88/x
  3. Step 3: Cross multiply
    2,037.75x = 2,752.88 × 2,752.88
  4. Step 4: Simplify right side
    2,037.75x = 7,578,320.77
  5. Step 5: Solve for x
    x = 7,578,320.77/2,037.75
  6. Step 6: Final answer
    x = 3,718.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.