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Finding the Third Proportional to 22,561.03 and 35,098.31

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Solution

The third proportional to 22,561.03 and 35,098.31 is: 54,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.03 : 35,098.31 = 35,098.31 : x
  2. Step 2: Convert to fraction form
    22,561.03/35,098.31 = 35,098.31/x
  3. Step 3: Cross multiply
    22,561.03x = 35,098.31 × 35,098.31
  4. Step 4: Simplify right side
    22,561.03x = 1,231,891,540.35
  5. Step 5: Solve for x
    x = 1,231,891,540.35/22,561.03
  6. Step 6: Final answer
    x = 54,602.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.