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Finding the Third Proportional to 20,935.13 and 32,680.13

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Solution

The third proportional to 20,935.13 and 32,680.13 is: 51,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935.13 : 32,680.13 = 32,680.13 : x
  2. Step 2: Convert to fraction form
    20,935.13/32,680.13 = 32,680.13/x
  3. Step 3: Cross multiply
    20,935.13x = 32,680.13 × 32,680.13
  4. Step 4: Simplify right side
    20,935.13x = 1,067,990,570.02
  5. Step 5: Solve for x
    x = 1,067,990,570.02/20,935.13
  6. Step 6: Final answer
    x = 51,014.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.