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Finding the Third Proportional to 38,149 and 59,021

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Solution

The third proportional to 38,149 and 59,021 is: 91,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149 : 59,021 = 59,021 : x
  2. Step 2: Convert to fraction form
    38,149/59,021 = 59,021/x
  3. Step 3: Cross multiply
    38,149x = 59,021 × 59,021
  4. Step 4: Simplify right side
    38,149x = 3,483,478,441
  5. Step 5: Solve for x
    x = 3,483,478,441/38,149
  6. Step 6: Final answer
    x = 91,312.44

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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.