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Finding the Third Proportional to 23,305.22 and 52,169.06

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Solution

The third proportional to 23,305.22 and 52,169.06 is: 116,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.22 : 52,169.06 = 52,169.06 : x
  2. Step 2: Convert to fraction form
    23,305.22/52,169.06 = 52,169.06/x
  3. Step 3: Cross multiply
    23,305.22x = 52,169.06 × 52,169.06
  4. Step 4: Simplify right side
    23,305.22x = 2,721,611,082.13
  5. Step 5: Solve for x
    x = 2,721,611,082.13/23,305.22
  6. Step 6: Final answer
    x = 116,781.19

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.