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Finding the Third Proportional to 38,278 and 82,706

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Solution

The third proportional to 38,278 and 82,706 is: 178,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278 : 82,706 = 82,706 : x
  2. Step 2: Convert to fraction form
    38,278/82,706 = 82,706/x
  3. Step 3: Cross multiply
    38,278x = 82,706 × 82,706
  4. Step 4: Simplify right side
    38,278x = 6,840,282,436
  5. Step 5: Solve for x
    x = 6,840,282,436/38,278
  6. Step 6: Final answer
    x = 178,700.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.