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Finding the Third Proportional to 22,072 and 28,340.25

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Solution

The third proportional to 22,072 and 28,340.25 is: 36,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072 : 28,340.25 = 28,340.25 : x
  2. Step 2: Convert to fraction form
    22,072/28,340.25 = 28,340.25/x
  3. Step 3: Cross multiply
    22,072x = 28,340.25 × 28,340.25
  4. Step 4: Simplify right side
    22,072x = 803,169,770.06
  5. Step 5: Solve for x
    x = 803,169,770.06/22,072
  6. Step 6: Final answer
    x = 36,388.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.