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Finding the Third Proportional to 22,993 and 35,717

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Solution

The third proportional to 22,993 and 35,717 is: 55,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993 : 35,717 = 35,717 : x
  2. Step 2: Convert to fraction form
    22,993/35,717 = 35,717/x
  3. Step 3: Cross multiply
    22,993x = 35,717 × 35,717
  4. Step 4: Simplify right side
    22,993x = 1,275,704,089
  5. Step 5: Solve for x
    x = 1,275,704,089/22,993
  6. Step 6: Final answer
    x = 55,482.28

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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.