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Finding the Third Proportional to 26,009.50 and 61,360.75

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Solution

The third proportional to 26,009.50 and 61,360.75 is: 144,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009.50 : 61,360.75 = 61,360.75 : x
  2. Step 2: Convert to fraction form
    26,009.50/61,360.75 = 61,360.75/x
  3. Step 3: Cross multiply
    26,009.50x = 61,360.75 × 61,360.75
  4. Step 4: Simplify right side
    26,009.50x = 3,765,141,640.56
  5. Step 5: Solve for x
    x = 3,765,141,640.56/26,009.50
  6. Step 6: Final answer
    x = 144,760.25

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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.