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Finding the Third Proportional to 49,685 and 73,852

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Solution

The third proportional to 49,685 and 73,852 is: 109,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,685 : 73,852 = 73,852 : x
  2. Step 2: Convert to fraction form
    49,685/73,852 = 73,852/x
  3. Step 3: Cross multiply
    49,685x = 73,852 × 73,852
  4. Step 4: Simplify right side
    49,685x = 5,454,117,904
  5. Step 5: Solve for x
    x = 5,454,117,904/49,685
  6. Step 6: Final answer
    x = 109,773.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.