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Finding the Third Proportional to 51,032 and 75,819

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Solution

The third proportional to 51,032 and 75,819 is: 112,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 75,819 = 75,819 : x
  2. Step 2: Convert to fraction form
    51,032/75,819 = 75,819/x
  3. Step 3: Cross multiply
    51,032x = 75,819 × 75,819
  4. Step 4: Simplify right side
    51,032x = 5,748,520,761
  5. Step 5: Solve for x
    x = 5,748,520,761/51,032
  6. Step 6: Final answer
    x = 112,645.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.