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Finding the Third Proportional to 36,900 and 56,985.75

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Solution

The third proportional to 36,900 and 56,985.75 is: 88,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,900 : 56,985.75 = 56,985.75 : x
  2. Step 2: Convert to fraction form
    36,900/56,985.75 = 56,985.75/x
  3. Step 3: Cross multiply
    36,900x = 56,985.75 × 56,985.75
  4. Step 4: Simplify right side
    36,900x = 3,247,375,703.06
  5. Step 5: Solve for x
    x = 3,247,375,703.06/36,900
  6. Step 6: Final answer
    x = 88,004.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.