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Finding the Third Proportional to 28,238 and 62,014

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Solution

The third proportional to 28,238 and 62,014 is: 136,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238 : 62,014 = 62,014 : x
  2. Step 2: Convert to fraction form
    28,238/62,014 = 62,014/x
  3. Step 3: Cross multiply
    28,238x = 62,014 × 62,014
  4. Step 4: Simplify right side
    28,238x = 3,845,736,196
  5. Step 5: Solve for x
    x = 3,845,736,196/28,238
  6. Step 6: Final answer
    x = 136,190.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.