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Finding the Third Proportional to 38,850 and 83,239

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Solution

The third proportional to 38,850 and 83,239 is: 178,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,850 : 83,239 = 83,239 : x
  2. Step 2: Convert to fraction form
    38,850/83,239 = 83,239/x
  3. Step 3: Cross multiply
    38,850x = 83,239 × 83,239
  4. Step 4: Simplify right side
    38,850x = 6,928,731,121
  5. Step 5: Solve for x
    x = 6,928,731,121/38,850
  6. Step 6: Final answer
    x = 178,345.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.