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Finding the Third Proportional to 14,850 and 22,197.38

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Solution

The third proportional to 14,850 and 22,197.38 is: 33,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850 : 22,197.38 = 22,197.38 : x
  2. Step 2: Convert to fraction form
    14,850/22,197.38 = 22,197.38/x
  3. Step 3: Cross multiply
    14,850x = 22,197.38 × 22,197.38
  4. Step 4: Simplify right side
    14,850x = 492,723,456.89
  5. Step 5: Solve for x
    x = 492,723,456.89/14,850
  6. Step 6: Final answer
    x = 33,180.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.