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Finding the Third Proportional to 12,296.81 and 26,674.31

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Solution

The third proportional to 12,296.81 and 26,674.31 is: 57,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.81 : 26,674.31 = 26,674.31 : x
  2. Step 2: Convert to fraction form
    12,296.81/26,674.31 = 26,674.31/x
  3. Step 3: Cross multiply
    12,296.81x = 26,674.31 × 26,674.31
  4. Step 4: Simplify right side
    12,296.81x = 711,518,947.35
  5. Step 5: Solve for x
    x = 711,518,947.35/12,296.81
  6. Step 6: Final answer
    x = 57,862.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.