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Finding the Third Proportional to 22,167 and 29,866.50

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Solution

The third proportional to 22,167 and 29,866.50 is: 40,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 29,866.50 = 29,866.50 : x
  2. Step 2: Convert to fraction form
    22,167/29,866.50 = 29,866.50/x
  3. Step 3: Cross multiply
    22,167x = 29,866.50 × 29,866.50
  4. Step 4: Simplify right side
    22,167x = 892,007,822.25
  5. Step 5: Solve for x
    x = 892,007,822.25/22,167
  6. Step 6: Final answer
    x = 40,240.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.