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Finding the Third Proportional to 5,810.44 and 11,964.69

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Solution

The third proportional to 5,810.44 and 11,964.69 is: 24,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.44 : 11,964.69 = 11,964.69 : x
  2. Step 2: Convert to fraction form
    5,810.44/11,964.69 = 11,964.69/x
  3. Step 3: Cross multiply
    5,810.44x = 11,964.69 × 11,964.69
  4. Step 4: Simplify right side
    5,810.44x = 143,153,746.97
  5. Step 5: Solve for x
    x = 143,153,746.97/5,810.44
  6. Step 6: Final answer
    x = 24,637.34

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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.