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Finding the Third Proportional to 36,207.50 and 75,726

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Solution

The third proportional to 36,207.50 and 75,726 is: 158,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,207.50 : 75,726 = 75,726 : x
  2. Step 2: Convert to fraction form
    36,207.50/75,726 = 75,726/x
  3. Step 3: Cross multiply
    36,207.50x = 75,726 × 75,726
  4. Step 4: Simplify right side
    36,207.50x = 5,734,427,076
  5. Step 5: Solve for x
    x = 5,734,427,076/36,207.50
  6. Step 6: Final answer
    x = 158,376.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.