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Finding the Third Proportional to 2,351.25 and 3,499.88

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Solution

The third proportional to 2,351.25 and 3,499.88 is: 5,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.25 : 3,499.88 = 3,499.88 : x
  2. Step 2: Convert to fraction form
    2,351.25/3,499.88 = 3,499.88/x
  3. Step 3: Cross multiply
    2,351.25x = 3,499.88 × 3,499.88
  4. Step 4: Simplify right side
    2,351.25x = 12,249,125.02
  5. Step 5: Solve for x
    x = 12,249,125.02/2,351.25
  6. Step 6: Final answer
    x = 5,209.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.