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Finding the Third Proportional to 2,670.25 and 4,265.75

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Solution

The third proportional to 2,670.25 and 4,265.75 is: 6,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.25 : 4,265.75 = 4,265.75 : x
  2. Step 2: Convert to fraction form
    2,670.25/4,265.75 = 4,265.75/x
  3. Step 3: Cross multiply
    2,670.25x = 4,265.75 × 4,265.75
  4. Step 4: Simplify right side
    2,670.25x = 18,196,623.06
  5. Step 5: Solve for x
    x = 18,196,623.06/2,670.25
  6. Step 6: Final answer
    x = 6,814.58

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.