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Finding the Third Proportional to 49,845 and 74,047

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Solution

The third proportional to 49,845 and 74,047 is: 110,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,845 : 74,047 = 74,047 : x
  2. Step 2: Convert to fraction form
    49,845/74,047 = 74,047/x
  3. Step 3: Cross multiply
    49,845x = 74,047 × 74,047
  4. Step 4: Simplify right side
    49,845x = 5,482,958,209
  5. Step 5: Solve for x
    x = 5,482,958,209/49,845
  6. Step 6: Final answer
    x = 110,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.