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Finding the Third Proportional to 39,036 and 94,350

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Solution

The third proportional to 39,036 and 94,350 is: 228,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,036 : 94,350 = 94,350 : x
  2. Step 2: Convert to fraction form
    39,036/94,350 = 94,350/x
  3. Step 3: Cross multiply
    39,036x = 94,350 × 94,350
  4. Step 4: Simplify right side
    39,036x = 8,901,922,500
  5. Step 5: Solve for x
    x = 8,901,922,500/39,036
  6. Step 6: Final answer
    x = 228,043.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.