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Finding the Third Proportional to 2,575.13 and 4,107.80

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Solution

The third proportional to 2,575.13 and 4,107.80 is: 6,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.13 : 4,107.80 = 4,107.80 : x
  2. Step 2: Convert to fraction form
    2,575.13/4,107.80 = 4,107.80/x
  3. Step 3: Cross multiply
    2,575.13x = 4,107.80 × 4,107.80
  4. Step 4: Simplify right side
    2,575.13x = 16,873,995.17
  5. Step 5: Solve for x
    x = 16,873,995.17/2,575.13
  6. Step 6: Final answer
    x = 6,552.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.