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Finding the Third Proportional to 36,844 and 56,703

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Solution

The third proportional to 36,844 and 56,703 is: 87,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844 : 56,703 = 56,703 : x
  2. Step 2: Convert to fraction form
    36,844/56,703 = 56,703/x
  3. Step 3: Cross multiply
    36,844x = 56,703 × 56,703
  4. Step 4: Simplify right side
    36,844x = 3,215,230,209
  5. Step 5: Solve for x
    x = 3,215,230,209/36,844
  6. Step 6: Final answer
    x = 87,266.05

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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.