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Finding the Third Proportional to 2,395.25 and 3,499.75

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Solution

The third proportional to 2,395.25 and 3,499.75 is: 5,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.25 : 3,499.75 = 3,499.75 : x
  2. Step 2: Convert to fraction form
    2,395.25/3,499.75 = 3,499.75/x
  3. Step 3: Cross multiply
    2,395.25x = 3,499.75 × 3,499.75
  4. Step 4: Simplify right side
    2,395.25x = 12,248,250.06
  5. Step 5: Solve for x
    x = 12,248,250.06/2,395.25
  6. Step 6: Final answer
    x = 5,113.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.