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Finding the Third Proportional to 26,225 and 39,555.25

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Solution

The third proportional to 26,225 and 39,555.25 is: 59,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,225 : 39,555.25 = 39,555.25 : x
  2. Step 2: Convert to fraction form
    26,225/39,555.25 = 39,555.25/x
  3. Step 3: Cross multiply
    26,225x = 39,555.25 × 39,555.25
  4. Step 4: Simplify right side
    26,225x = 1,564,617,802.56
  5. Step 5: Solve for x
    x = 1,564,617,802.56/26,225
  6. Step 6: Final answer
    x = 59,661.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.