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Finding the Third Proportional to 36,832.75 and 57,618.25

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Solution

The third proportional to 36,832.75 and 57,618.25 is: 90,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,832.75 : 57,618.25 = 57,618.25 : x
  2. Step 2: Convert to fraction form
    36,832.75/57,618.25 = 57,618.25/x
  3. Step 3: Cross multiply
    36,832.75x = 57,618.25 × 57,618.25
  4. Step 4: Simplify right side
    36,832.75x = 3,319,862,733.06
  5. Step 5: Solve for x
    x = 3,319,862,733.06/36,832.75
  6. Step 6: Final answer
    x = 90,133.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.