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Finding the Third Proportional to 22,745 and 35,089

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Solution

The third proportional to 22,745 and 35,089 is: 54,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745 : 35,089 = 35,089 : x
  2. Step 2: Convert to fraction form
    22,745/35,089 = 35,089/x
  3. Step 3: Cross multiply
    22,745x = 35,089 × 35,089
  4. Step 4: Simplify right side
    22,745x = 1,231,237,921
  5. Step 5: Solve for x
    x = 1,231,237,921/22,745
  6. Step 6: Final answer
    x = 54,132.25

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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.