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Finding the Third Proportional to 36,393.05 and 57,101.20

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Solution

The third proportional to 36,393.05 and 57,101.20 is: 89,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,393.05 : 57,101.20 = 57,101.20 : x
  2. Step 2: Convert to fraction form
    36,393.05/57,101.20 = 57,101.20/x
  3. Step 3: Cross multiply
    36,393.05x = 57,101.20 × 57,101.20
  4. Step 4: Simplify right side
    36,393.05x = 3,260,547,398.32
  5. Step 5: Solve for x
    x = 3,260,547,398.32/36,393.05
  6. Step 6: Final answer
    x = 89,592.59

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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.