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Finding the Third Proportional to 26,137.69 and 61,858.69

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Solution

The third proportional to 26,137.69 and 61,858.69 is: 146,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137.69 : 61,858.69 = 61,858.69 : x
  2. Step 2: Convert to fraction form
    26,137.69/61,858.69 = 61,858.69/x
  3. Step 3: Cross multiply
    26,137.69x = 61,858.69 × 61,858.69
  4. Step 4: Simplify right side
    26,137.69x = 3,826,497,219.22
  5. Step 5: Solve for x
    x = 3,826,497,219.22/26,137.69
  6. Step 6: Final answer
    x = 146,397.70

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.