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Finding the Third Proportional to 49,039 and 77,693

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Solution

The third proportional to 49,039 and 77,693 is: 123,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,039 : 77,693 = 77,693 : x
  2. Step 2: Convert to fraction form
    49,039/77,693 = 77,693/x
  3. Step 3: Cross multiply
    49,039x = 77,693 × 77,693
  4. Step 4: Simplify right side
    49,039x = 6,036,202,249
  5. Step 5: Solve for x
    x = 6,036,202,249/49,039
  6. Step 6: Final answer
    x = 123,089.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.