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Finding the Third Proportional to 1,959.75 and 4,534.88

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Solution

The third proportional to 1,959.75 and 4,534.88 is: 10,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.75 : 4,534.88 = 4,534.88 : x
  2. Step 2: Convert to fraction form
    1,959.75/4,534.88 = 4,534.88/x
  3. Step 3: Cross multiply
    1,959.75x = 4,534.88 × 4,534.88
  4. Step 4: Simplify right side
    1,959.75x = 20,565,091.27
  5. Step 5: Solve for x
    x = 20,565,091.27/1,959.75
  6. Step 6: Final answer
    x = 10,493.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.