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Finding the Third Proportional to 26,019 and 61,351.50

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Solution

The third proportional to 26,019 and 61,351.50 is: 144,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019 : 61,351.50 = 61,351.50 : x
  2. Step 2: Convert to fraction form
    26,019/61,351.50 = 61,351.50/x
  3. Step 3: Cross multiply
    26,019x = 61,351.50 × 61,351.50
  4. Step 4: Simplify right side
    26,019x = 3,764,006,552.25
  5. Step 5: Solve for x
    x = 3,764,006,552.25/26,019
  6. Step 6: Final answer
    x = 144,663.77

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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.