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Finding the Third Proportional to 49,839 and 74,044.50

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Solution

The third proportional to 49,839 and 74,044.50 is: 110,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,839 : 74,044.50 = 74,044.50 : x
  2. Step 2: Convert to fraction form
    49,839/74,044.50 = 74,044.50/x
  3. Step 3: Cross multiply
    49,839x = 74,044.50 × 74,044.50
  4. Step 4: Simplify right side
    49,839x = 5,482,587,980.25
  5. Step 5: Solve for x
    x = 5,482,587,980.25/49,839
  6. Step 6: Final answer
    x = 110,005.98

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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.