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Finding the Third Proportional to 5,869.97 and 12,833.44

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Solution

The third proportional to 5,869.97 and 12,833.44 is: 28,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.97 : 12,833.44 = 12,833.44 : x
  2. Step 2: Convert to fraction form
    5,869.97/12,833.44 = 12,833.44/x
  3. Step 3: Cross multiply
    5,869.97x = 12,833.44 × 12,833.44
  4. Step 4: Simplify right side
    5,869.97x = 164,697,118.07
  5. Step 5: Solve for x
    x = 164,697,118.07/5,869.97
  6. Step 6: Final answer
    x = 28,057.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.