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Finding the Third Proportional to 47,439 and 74,034

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Solution

The third proportional to 47,439 and 74,034 is: 115,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,439 : 74,034 = 74,034 : x
  2. Step 2: Convert to fraction form
    47,439/74,034 = 74,034/x
  3. Step 3: Cross multiply
    47,439x = 74,034 × 74,034
  4. Step 4: Simplify right side
    47,439x = 5,481,033,156
  5. Step 5: Solve for x
    x = 5,481,033,156/47,439
  6. Step 6: Final answer
    x = 115,538.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.