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Finding the Third Proportional to 36,358.88 and 57,135.38

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Solution

The third proportional to 36,358.88 and 57,135.38 is: 89,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,358.88 : 57,135.38 = 57,135.38 : x
  2. Step 2: Convert to fraction form
    36,358.88/57,135.38 = 57,135.38/x
  3. Step 3: Cross multiply
    36,358.88x = 57,135.38 × 57,135.38
  4. Step 4: Simplify right side
    36,358.88x = 3,264,451,076.39
  5. Step 5: Solve for x
    x = 3,264,451,076.39/36,358.88
  6. Step 6: Final answer
    x = 89,784.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.