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Finding the Third Proportional to 36,717 and 56,535.75

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Solution

The third proportional to 36,717 and 56,535.75 is: 87,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,717 : 56,535.75 = 56,535.75 : x
  2. Step 2: Convert to fraction form
    36,717/56,535.75 = 56,535.75/x
  3. Step 3: Cross multiply
    36,717x = 56,535.75 × 56,535.75
  4. Step 4: Simplify right side
    36,717x = 3,196,291,028.06
  5. Step 5: Solve for x
    x = 3,196,291,028.06/36,717
  6. Step 6: Final answer
    x = 87,052.07

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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.