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Finding the Third Proportional to 22,982.06 and 35,498.25

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Solution

The third proportional to 22,982.06 and 35,498.25 is: 54,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.06 : 35,498.25 = 35,498.25 : x
  2. Step 2: Convert to fraction form
    22,982.06/35,498.25 = 35,498.25/x
  3. Step 3: Cross multiply
    22,982.06x = 35,498.25 × 35,498.25
  4. Step 4: Simplify right side
    22,982.06x = 1,260,125,753.06
  5. Step 5: Solve for x
    x = 1,260,125,753.06/22,982.06
  6. Step 6: Final answer
    x = 54,830.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.