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Finding the Third Proportional to 49,270 and 73,581

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Solution

The third proportional to 49,270 and 73,581 is: 109,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270 : 73,581 = 73,581 : x
  2. Step 2: Convert to fraction form
    49,270/73,581 = 73,581/x
  3. Step 3: Cross multiply
    49,270x = 73,581 × 73,581
  4. Step 4: Simplify right side
    49,270x = 5,414,163,561
  5. Step 5: Solve for x
    x = 5,414,163,561/49,270
  6. Step 6: Final answer
    x = 109,887.63

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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.