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Finding the Third Proportional to 24,482.25 and 27,020.25

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Solution

The third proportional to 24,482.25 and 27,020.25 is: 29,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.25 : 27,020.25 = 27,020.25 : x
  2. Step 2: Convert to fraction form
    24,482.25/27,020.25 = 27,020.25/x
  3. Step 3: Cross multiply
    24,482.25x = 27,020.25 × 27,020.25
  4. Step 4: Simplify right side
    24,482.25x = 730,093,910.06
  5. Step 5: Solve for x
    x = 730,093,910.06/24,482.25
  6. Step 6: Final answer
    x = 29,821.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.