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Finding the Third Proportional to 36,915.12 and 57,270.16

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Solution

The third proportional to 36,915.12 and 57,270.16 is: 88,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,915.12 : 57,270.16 = 57,270.16 : x
  2. Step 2: Convert to fraction form
    36,915.12/57,270.16 = 57,270.16/x
  3. Step 3: Cross multiply
    36,915.12x = 57,270.16 × 57,270.16
  4. Step 4: Simplify right side
    36,915.12x = 3,279,871,691.75
  5. Step 5: Solve for x
    x = 3,279,871,691.75/36,915.12
  6. Step 6: Final answer
    x = 88,849.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.