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Finding the Third Proportional to 2,034.75 and 2,941.88

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Solution

The third proportional to 2,034.75 and 2,941.88 is: 4,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.75 : 2,941.88 = 2,941.88 : x
  2. Step 2: Convert to fraction form
    2,034.75/2,941.88 = 2,941.88/x
  3. Step 3: Cross multiply
    2,034.75x = 2,941.88 × 2,941.88
  4. Step 4: Simplify right side
    2,034.75x = 8,654,628.52
  5. Step 5: Solve for x
    x = 8,654,628.52/2,034.75
  6. Step 6: Final answer
    x = 4,253.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.