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Finding the Third Proportional to 38,100.38 and 92,451.38

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Solution

The third proportional to 38,100.38 and 92,451.38 is: 224,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100.38 : 92,451.38 = 92,451.38 : x
  2. Step 2: Convert to fraction form
    38,100.38/92,451.38 = 92,451.38/x
  3. Step 3: Cross multiply
    38,100.38x = 92,451.38 × 92,451.38
  4. Step 4: Simplify right side
    38,100.38x = 8,547,256,739.39
  5. Step 5: Solve for x
    x = 8,547,256,739.39/38,100.38
  6. Step 6: Final answer
    x = 224,335.24

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.