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Finding the Third Proportional to 22,906.13 and 50,733

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Solution

The third proportional to 22,906.13 and 50,733 is: 112,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.13 : 50,733 = 50,733 : x
  2. Step 2: Convert to fraction form
    22,906.13/50,733 = 50,733/x
  3. Step 3: Cross multiply
    22,906.13x = 50,733 × 50,733
  4. Step 4: Simplify right side
    22,906.13x = 2,573,837,289
  5. Step 5: Solve for x
    x = 2,573,837,289/22,906.13
  6. Step 6: Final answer
    x = 112,364.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.