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Finding the Third Proportional to 14,238 and 22,101.75

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Solution

The third proportional to 14,238 and 22,101.75 is: 34,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 22,101.75 = 22,101.75 : x
  2. Step 2: Convert to fraction form
    14,238/22,101.75 = 22,101.75/x
  3. Step 3: Cross multiply
    14,238x = 22,101.75 × 22,101.75
  4. Step 4: Simplify right side
    14,238x = 488,487,353.06
  5. Step 5: Solve for x
    x = 488,487,353.06/14,238
  6. Step 6: Final answer
    x = 34,308.71

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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.