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Finding the Third Proportional to 25,231.88 and 53,077.69

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Solution

The third proportional to 25,231.88 and 53,077.69 is: 111,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.88 : 53,077.69 = 53,077.69 : x
  2. Step 2: Convert to fraction form
    25,231.88/53,077.69 = 53,077.69/x
  3. Step 3: Cross multiply
    25,231.88x = 53,077.69 × 53,077.69
  4. Step 4: Simplify right side
    25,231.88x = 2,817,240,910.35
  5. Step 5: Solve for x
    x = 2,817,240,910.35/25,231.88
  6. Step 6: Final answer
    x = 111,654.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.