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Finding the Third Proportional to 2,086 and 3,248.50

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Solution

The third proportional to 2,086 and 3,248.50 is: 5,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086 : 3,248.50 = 3,248.50 : x
  2. Step 2: Convert to fraction form
    2,086/3,248.50 = 3,248.50/x
  3. Step 3: Cross multiply
    2,086x = 3,248.50 × 3,248.50
  4. Step 4: Simplify right side
    2,086x = 10,552,752.25
  5. Step 5: Solve for x
    x = 10,552,752.25/2,086
  6. Step 6: Final answer
    x = 5,058.85

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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.