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Finding the Third Proportional to 20,076 and 43,235.25

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Solution

The third proportional to 20,076 and 43,235.25 is: 93,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 43,235.25 = 43,235.25 : x
  2. Step 2: Convert to fraction form
    20,076/43,235.25 = 43,235.25/x
  3. Step 3: Cross multiply
    20,076x = 43,235.25 × 43,235.25
  4. Step 4: Simplify right side
    20,076x = 1,869,286,842.56
  5. Step 5: Solve for x
    x = 1,869,286,842.56/20,076
  6. Step 6: Final answer
    x = 93,110.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.