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Finding the Third Proportional to 21,942 and 33,106.13

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Solution

The third proportional to 21,942 and 33,106.13 is: 49,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942 : 33,106.13 = 33,106.13 : x
  2. Step 2: Convert to fraction form
    21,942/33,106.13 = 33,106.13/x
  3. Step 3: Cross multiply
    21,942x = 33,106.13 × 33,106.13
  4. Step 4: Simplify right side
    21,942x = 1,096,015,512.52
  5. Step 5: Solve for x
    x = 1,096,015,512.52/21,942
  6. Step 6: Final answer
    x = 49,950.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.