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Finding the Third Proportional to 10,866.66 and 16,120.58

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Solution

The third proportional to 10,866.66 and 16,120.58 is: 23,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.66 : 16,120.58 = 16,120.58 : x
  2. Step 2: Convert to fraction form
    10,866.66/16,120.58 = 16,120.58/x
  3. Step 3: Cross multiply
    10,866.66x = 16,120.58 × 16,120.58
  4. Step 4: Simplify right side
    10,866.66x = 259,873,165.03
  5. Step 5: Solve for x
    x = 259,873,165.03/10,866.66
  6. Step 6: Final answer
    x = 23,914.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.