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Finding the Third Proportional to 36,443 and 56,221.13

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Solution

The third proportional to 36,443 and 56,221.13 is: 86,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,443 : 56,221.13 = 56,221.13 : x
  2. Step 2: Convert to fraction form
    36,443/56,221.13 = 56,221.13/x
  3. Step 3: Cross multiply
    36,443x = 56,221.13 × 56,221.13
  4. Step 4: Simplify right side
    36,443x = 3,160,814,896.27
  5. Step 5: Solve for x
    x = 3,160,814,896.27/36,443
  6. Step 6: Final answer
    x = 86,733.11

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1.5x scale

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.