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Finding the Third Proportional to 49,072.50 and 77,829

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Solution

The third proportional to 49,072.50 and 77,829 is: 123,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.50 : 77,829 = 77,829 : x
  2. Step 2: Convert to fraction form
    49,072.50/77,829 = 77,829/x
  3. Step 3: Cross multiply
    49,072.50x = 77,829 × 77,829
  4. Step 4: Simplify right side
    49,072.50x = 6,057,353,241
  5. Step 5: Solve for x
    x = 6,057,353,241/49,072.50
  6. Step 6: Final answer
    x = 123,436.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.