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Finding the Third Proportional to 3,252.75 and 3,590.25

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Solution

The third proportional to 3,252.75 and 3,590.25 is: 3,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.75 : 3,590.25 = 3,590.25 : x
  2. Step 2: Convert to fraction form
    3,252.75/3,590.25 = 3,590.25/x
  3. Step 3: Cross multiply
    3,252.75x = 3,590.25 × 3,590.25
  4. Step 4: Simplify right side
    3,252.75x = 12,889,895.06
  5. Step 5: Solve for x
    x = 12,889,895.06/3,252.75
  6. Step 6: Final answer
    x = 3,962.77

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.