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Finding the Third Proportional to 21,961.13 and 34,035.19

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Solution

The third proportional to 21,961.13 and 34,035.19 is: 52,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961.13 : 34,035.19 = 34,035.19 : x
  2. Step 2: Convert to fraction form
    21,961.13/34,035.19 = 34,035.19/x
  3. Step 3: Cross multiply
    21,961.13x = 34,035.19 × 34,035.19
  4. Step 4: Simplify right side
    21,961.13x = 1,158,393,988.16
  5. Step 5: Solve for x
    x = 1,158,393,988.16/21,961.13
  6. Step 6: Final answer
    x = 52,747.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.