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Finding the Third Proportional to 49,814 and 74,908

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Solution

The third proportional to 49,814 and 74,908 is: 112,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814 : 74,908 = 74,908 : x
  2. Step 2: Convert to fraction form
    49,814/74,908 = 74,908/x
  3. Step 3: Cross multiply
    49,814x = 74,908 × 74,908
  4. Step 4: Simplify right side
    49,814x = 5,611,208,464
  5. Step 5: Solve for x
    x = 5,611,208,464/49,814
  6. Step 6: Final answer
    x = 112,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.