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Finding the Third Proportional to 51,842.25 and 77,745.38

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Solution

The third proportional to 51,842.25 and 77,745.38 is: 116,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.25 : 77,745.38 = 77,745.38 : x
  2. Step 2: Convert to fraction form
    51,842.25/77,745.38 = 77,745.38/x
  3. Step 3: Cross multiply
    51,842.25x = 77,745.38 × 77,745.38
  4. Step 4: Simplify right side
    51,842.25x = 6,044,343,333.89
  5. Step 5: Solve for x
    x = 6,044,343,333.89/51,842.25
  6. Step 6: Final answer
    x = 116,591.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.