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Finding the Third Proportional to 22,564.13 and 35,052.75

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Solution

The third proportional to 22,564.13 and 35,052.75 is: 54,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.13 : 35,052.75 = 35,052.75 : x
  2. Step 2: Convert to fraction form
    22,564.13/35,052.75 = 35,052.75/x
  3. Step 3: Cross multiply
    22,564.13x = 35,052.75 × 35,052.75
  4. Step 4: Simplify right side
    22,564.13x = 1,228,695,282.56
  5. Step 5: Solve for x
    x = 1,228,695,282.56/22,564.13
  6. Step 6: Final answer
    x = 54,453.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.