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Finding the Third Proportional to 23,777.30 and 50,206.71

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Solution

The third proportional to 23,777.30 and 50,206.71 is: 106,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.30 : 50,206.71 = 50,206.71 : x
  2. Step 2: Convert to fraction form
    23,777.30/50,206.71 = 50,206.71/x
  3. Step 3: Cross multiply
    23,777.30x = 50,206.71 × 50,206.71
  4. Step 4: Simplify right side
    23,777.30x = 2,520,713,823.16
  5. Step 5: Solve for x
    x = 2,520,713,823.16/23,777.30
  6. Step 6: Final answer
    x = 106,013.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.