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Finding the Third Proportional to 26,804 and 62,324

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Solution

The third proportional to 26,804 and 62,324 is: 144,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804 : 62,324 = 62,324 : x
  2. Step 2: Convert to fraction form
    26,804/62,324 = 62,324/x
  3. Step 3: Cross multiply
    26,804x = 62,324 × 62,324
  4. Step 4: Simplify right side
    26,804x = 3,884,280,976
  5. Step 5: Solve for x
    x = 3,884,280,976/26,804
  6. Step 6: Final answer
    x = 144,914.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.