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Finding the Third Proportional to 38,034 and 88,865

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Solution

The third proportional to 38,034 and 88,865 is: 207,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 88,865 = 88,865 : x
  2. Step 2: Convert to fraction form
    38,034/88,865 = 88,865/x
  3. Step 3: Cross multiply
    38,034x = 88,865 × 88,865
  4. Step 4: Simplify right side
    38,034x = 7,896,988,225
  5. Step 5: Solve for x
    x = 7,896,988,225/38,034
  6. Step 6: Final answer
    x = 207,629.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.