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Finding the Third Proportional to 20,867.63 and 49,211.30

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Solution

The third proportional to 20,867.63 and 49,211.30 is: 116,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.63 : 49,211.30 = 49,211.30 : x
  2. Step 2: Convert to fraction form
    20,867.63/49,211.30 = 49,211.30/x
  3. Step 3: Cross multiply
    20,867.63x = 49,211.30 × 49,211.30
  4. Step 4: Simplify right side
    20,867.63x = 2,421,751,740.12
  5. Step 5: Solve for x
    x = 2,421,751,740.12/20,867.63
  6. Step 6: Final answer
    x = 116,053.06

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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.