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Finding the Third Proportional to 28,221.75 and 43,722.28

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Solution

The third proportional to 28,221.75 and 43,722.28 is: 67,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,221.75 : 43,722.28 = 43,722.28 : x
  2. Step 2: Convert to fraction form
    28,221.75/43,722.28 = 43,722.28/x
  3. Step 3: Cross multiply
    28,221.75x = 43,722.28 × 43,722.28
  4. Step 4: Simplify right side
    28,221.75x = 1,911,637,877.70
  5. Step 5: Solve for x
    x = 1,911,637,877.70/28,221.75
  6. Step 6: Final answer
    x = 67,736.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.