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Finding the Third Proportional to 26,004 and 61,324.50

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Solution

The third proportional to 26,004 and 61,324.50 is: 144,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 61,324.50 = 61,324.50 : x
  2. Step 2: Convert to fraction form
    26,004/61,324.50 = 61,324.50/x
  3. Step 3: Cross multiply
    26,004x = 61,324.50 × 61,324.50
  4. Step 4: Simplify right side
    26,004x = 3,760,694,300.25
  5. Step 5: Solve for x
    x = 3,760,694,300.25/26,004
  6. Step 6: Final answer
    x = 144,619.84

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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.