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Finding the Third Proportional to 38,029.50 and 74,079

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Solution

The third proportional to 38,029.50 and 74,079 is: 144,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,029.50 : 74,079 = 74,079 : x
  2. Step 2: Convert to fraction form
    38,029.50/74,079 = 74,079/x
  3. Step 3: Cross multiply
    38,029.50x = 74,079 × 74,079
  4. Step 4: Simplify right side
    38,029.50x = 5,487,698,241
  5. Step 5: Solve for x
    x = 5,487,698,241/38,029.50
  6. Step 6: Final answer
    x = 144,301.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.