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Finding the Third Proportional to 38,205 and 90,324

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Solution

The third proportional to 38,205 and 90,324 is: 213,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205 : 90,324 = 90,324 : x
  2. Step 2: Convert to fraction form
    38,205/90,324 = 90,324/x
  3. Step 3: Cross multiply
    38,205x = 90,324 × 90,324
  4. Step 4: Simplify right side
    38,205x = 8,158,424,976
  5. Step 5: Solve for x
    x = 8,158,424,976/38,205
  6. Step 6: Final answer
    x = 213,543.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.