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Finding the Third Proportional to 19,936 and 32,121.25

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Solution

The third proportional to 19,936 and 32,121.25 is: 51,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 32,121.25 = 32,121.25 : x
  2. Step 2: Convert to fraction form
    19,936/32,121.25 = 32,121.25/x
  3. Step 3: Cross multiply
    19,936x = 32,121.25 × 32,121.25
  4. Step 4: Simplify right side
    19,936x = 1,031,774,701.56
  5. Step 5: Solve for x
    x = 1,031,774,701.56/19,936
  6. Step 6: Final answer
    x = 51,754.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.