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Finding the Third Proportional to 34,694 and 49,577

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Solution

The third proportional to 34,694 and 49,577 is: 70,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694 : 49,577 = 49,577 : x
  2. Step 2: Convert to fraction form
    34,694/49,577 = 49,577/x
  3. Step 3: Cross multiply
    34,694x = 49,577 × 49,577
  4. Step 4: Simplify right side
    34,694x = 2,457,878,929
  5. Step 5: Solve for x
    x = 2,457,878,929/34,694
  6. Step 6: Final answer
    x = 70,844.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.