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Finding the Third Proportional to 20,867.10 and 49,209.57

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Solution

The third proportional to 20,867.10 and 49,209.57 is: 116,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.10 : 49,209.57 = 49,209.57 : x
  2. Step 2: Convert to fraction form
    20,867.10/49,209.57 = 49,209.57/x
  3. Step 3: Cross multiply
    20,867.10x = 49,209.57 × 49,209.57
  4. Step 4: Simplify right side
    20,867.10x = 2,421,582,194.79
  5. Step 5: Solve for x
    x = 2,421,582,194.79/20,867.10
  6. Step 6: Final answer
    x = 116,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.