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Finding the Third Proportional to 10,964.25 and 26,511.75

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Solution

The third proportional to 10,964.25 and 26,511.75 is: 64,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.25 : 26,511.75 = 26,511.75 : x
  2. Step 2: Convert to fraction form
    10,964.25/26,511.75 = 26,511.75/x
  3. Step 3: Cross multiply
    10,964.25x = 26,511.75 × 26,511.75
  4. Step 4: Simplify right side
    10,964.25x = 702,872,888.06
  5. Step 5: Solve for x
    x = 702,872,888.06/10,964.25
  6. Step 6: Final answer
    x = 64,105.88

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.