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Finding the Third Proportional to 22,052.25 and 29,342.25

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Solution

The third proportional to 22,052.25 and 29,342.25 is: 39,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,052.25 : 29,342.25 = 29,342.25 : x
  2. Step 2: Convert to fraction form
    22,052.25/29,342.25 = 29,342.25/x
  3. Step 3: Cross multiply
    22,052.25x = 29,342.25 × 29,342.25
  4. Step 4: Simplify right side
    22,052.25x = 860,967,635.06
  5. Step 5: Solve for x
    x = 860,967,635.06/22,052.25
  6. Step 6: Final answer
    x = 39,042.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.