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Finding the Third Proportional to 51,850.13 and 83,835

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Solution

The third proportional to 51,850.13 and 83,835 is: 135,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850.13 : 83,835 = 83,835 : x
  2. Step 2: Convert to fraction form
    51,850.13/83,835 = 83,835/x
  3. Step 3: Cross multiply
    51,850.13x = 83,835 × 83,835
  4. Step 4: Simplify right side
    51,850.13x = 7,028,307,225
  5. Step 5: Solve for x
    x = 7,028,307,225/51,850.13
  6. Step 6: Final answer
    x = 135,550.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.