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Finding the Third Proportional to 51,646.69 and 79,805.44

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Solution

The third proportional to 51,646.69 and 79,805.44 is: 123,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.69 : 79,805.44 = 79,805.44 : x
  2. Step 2: Convert to fraction form
    51,646.69/79,805.44 = 79,805.44/x
  3. Step 3: Cross multiply
    51,646.69x = 79,805.44 × 79,805.44
  4. Step 4: Simplify right side
    51,646.69x = 6,368,907,854.57
  5. Step 5: Solve for x
    x = 6,368,907,854.57/51,646.69
  6. Step 6: Final answer
    x = 123,316.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.