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Finding the Third Proportional to 2,508.75 and 3,902.06

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Solution

The third proportional to 2,508.75 and 3,902.06 is: 6,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.75 : 3,902.06 = 3,902.06 : x
  2. Step 2: Convert to fraction form
    2,508.75/3,902.06 = 3,902.06/x
  3. Step 3: Cross multiply
    2,508.75x = 3,902.06 × 3,902.06
  4. Step 4: Simplify right side
    2,508.75x = 15,226,091.75
  5. Step 5: Solve for x
    x = 15,226,091.75/2,508.75
  6. Step 6: Final answer
    x = 6,069.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.