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Finding the Third Proportional to 1,520.88 and 2,645.88

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Solution

The third proportional to 1,520.88 and 2,645.88 is: 4,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.88 : 2,645.88 = 2,645.88 : x
  2. Step 2: Convert to fraction form
    1,520.88/2,645.88 = 2,645.88/x
  3. Step 3: Cross multiply
    1,520.88x = 2,645.88 × 2,645.88
  4. Step 4: Simplify right side
    1,520.88x = 7,000,654.52
  5. Step 5: Solve for x
    x = 7,000,654.52/1,520.88
  6. Step 6: Final answer
    x = 4,603.04

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.