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Finding the Third Proportional to 26,035 and 61,394.50

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Solution

The third proportional to 26,035 and 61,394.50 is: 144,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,035 : 61,394.50 = 61,394.50 : x
  2. Step 2: Convert to fraction form
    26,035/61,394.50 = 61,394.50/x
  3. Step 3: Cross multiply
    26,035x = 61,394.50 × 61,394.50
  4. Step 4: Simplify right side
    26,035x = 3,769,284,630.25
  5. Step 5: Solve for x
    x = 3,769,284,630.25/26,035
  6. Step 6: Final answer
    x = 144,777.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.