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Finding the Third Proportional to 49,829 and 74,606

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Solution

The third proportional to 49,829 and 74,606 is: 111,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,829 : 74,606 = 74,606 : x
  2. Step 2: Convert to fraction form
    49,829/74,606 = 74,606/x
  3. Step 3: Cross multiply
    49,829x = 74,606 × 74,606
  4. Step 4: Simplify right side
    49,829x = 5,566,055,236
  5. Step 5: Solve for x
    x = 5,566,055,236/49,829
  6. Step 6: Final answer
    x = 111,703.13

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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.