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Finding the Third Proportional to 51,835.50 and 80,044

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Solution

The third proportional to 51,835.50 and 80,044 is: 123,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,835.50 : 80,044 = 80,044 : x
  2. Step 2: Convert to fraction form
    51,835.50/80,044 = 80,044/x
  3. Step 3: Cross multiply
    51,835.50x = 80,044 × 80,044
  4. Step 4: Simplify right side
    51,835.50x = 6,407,041,936
  5. Step 5: Solve for x
    x = 6,407,041,936/51,835.50
  6. Step 6: Final answer
    x = 123,603.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.