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Finding the Third Proportional to 18,751.50 and 26,264.25

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Solution

The third proportional to 18,751.50 and 26,264.25 is: 36,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,751.50 : 26,264.25 = 26,264.25 : x
  2. Step 2: Convert to fraction form
    18,751.50/26,264.25 = 26,264.25/x
  3. Step 3: Cross multiply
    18,751.50x = 26,264.25 × 26,264.25
  4. Step 4: Simplify right side
    18,751.50x = 689,810,828.06
  5. Step 5: Solve for x
    x = 689,810,828.06/18,751.50
  6. Step 6: Final answer
    x = 36,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.