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Finding the Third Proportional to 26,947.69 and 59,398.31

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Solution

The third proportional to 26,947.69 and 59,398.31 is: 130,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947.69 : 59,398.31 = 59,398.31 : x
  2. Step 2: Convert to fraction form
    26,947.69/59,398.31 = 59,398.31/x
  3. Step 3: Cross multiply
    26,947.69x = 59,398.31 × 59,398.31
  4. Step 4: Simplify right side
    26,947.69x = 3,528,159,527.85
  5. Step 5: Solve for x
    x = 3,528,159,527.85/26,947.69
  6. Step 6: Final answer
    x = 130,926.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.