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Finding the Third Proportional to 51,789.38 and 79,973.58

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Solution

The third proportional to 51,789.38 and 79,973.58 is: 123,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789.38 : 79,973.58 = 79,973.58 : x
  2. Step 2: Convert to fraction form
    51,789.38/79,973.58 = 79,973.58/x
  3. Step 3: Cross multiply
    51,789.38x = 79,973.58 × 79,973.58
  4. Step 4: Simplify right side
    51,789.38x = 6,395,773,198.12
  5. Step 5: Solve for x
    x = 6,395,773,198.12/51,789.38
  6. Step 6: Final answer
    x = 123,495.86

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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.