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Finding the Third Proportional to 24,865.31 and 51,165.84

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Solution

The third proportional to 24,865.31 and 51,165.84 is: 105,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.31 : 51,165.84 = 51,165.84 : x
  2. Step 2: Convert to fraction form
    24,865.31/51,165.84 = 51,165.84/x
  3. Step 3: Cross multiply
    24,865.31x = 51,165.84 × 51,165.84
  4. Step 4: Simplify right side
    24,865.31x = 2,617,943,566.65
  5. Step 5: Solve for x
    x = 2,617,943,566.65/24,865.31
  6. Step 6: Final answer
    x = 105,284.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.