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Finding the Third Proportional to 49,276 and 73,838

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Solution

The third proportional to 49,276 and 73,838 is: 110,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,276 : 73,838 = 73,838 : x
  2. Step 2: Convert to fraction form
    49,276/73,838 = 73,838/x
  3. Step 3: Cross multiply
    49,276x = 73,838 × 73,838
  4. Step 4: Simplify right side
    49,276x = 5,452,050,244
  5. Step 5: Solve for x
    x = 5,452,050,244/49,276
  6. Step 6: Final answer
    x = 110,643.12

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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.