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Finding the Third Proportional to 30,883 and 49,069

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Solution

The third proportional to 30,883 and 49,069 is: 77,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883 : 49,069 = 49,069 : x
  2. Step 2: Convert to fraction form
    30,883/49,069 = 49,069/x
  3. Step 3: Cross multiply
    30,883x = 49,069 × 49,069
  4. Step 4: Simplify right side
    30,883x = 2,407,766,761
  5. Step 5: Solve for x
    x = 2,407,766,761/30,883
  6. Step 6: Final answer
    x = 77,964.15

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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.