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Finding the Third Proportional to 6,311 and 13,275.25

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Solution

The third proportional to 6,311 and 13,275.25 is: 27,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311 : 13,275.25 = 13,275.25 : x
  2. Step 2: Convert to fraction form
    6,311/13,275.25 = 13,275.25/x
  3. Step 3: Cross multiply
    6,311x = 13,275.25 × 13,275.25
  4. Step 4: Simplify right side
    6,311x = 176,232,262.56
  5. Step 5: Solve for x
    x = 176,232,262.56/6,311
  6. Step 6: Final answer
    x = 27,924.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.