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Finding the Third Proportional to 21,832.88 and 34,219.13

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Solution

The third proportional to 21,832.88 and 34,219.13 is: 53,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.88 : 34,219.13 = 34,219.13 : x
  2. Step 2: Convert to fraction form
    21,832.88/34,219.13 = 34,219.13/x
  3. Step 3: Cross multiply
    21,832.88x = 34,219.13 × 34,219.13
  4. Step 4: Simplify right side
    21,832.88x = 1,170,948,515.77
  5. Step 5: Solve for x
    x = 1,170,948,515.77/21,832.88
  6. Step 6: Final answer
    x = 53,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.