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Finding the Third Proportional to 22,581 and 35,164.13

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Solution

The third proportional to 22,581 and 35,164.13 is: 54,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581 : 35,164.13 = 35,164.13 : x
  2. Step 2: Convert to fraction form
    22,581/35,164.13 = 35,164.13/x
  3. Step 3: Cross multiply
    22,581x = 35,164.13 × 35,164.13
  4. Step 4: Simplify right side
    22,581x = 1,236,515,687.02
  5. Step 5: Solve for x
    x = 1,236,515,687.02/22,581
  6. Step 6: Final answer
    x = 54,759.12

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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.