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Finding the Third Proportional to 17,763 and 24,052

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Solution

The third proportional to 17,763 and 24,052 is: 32,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763 : 24,052 = 24,052 : x
  2. Step 2: Convert to fraction form
    17,763/24,052 = 24,052/x
  3. Step 3: Cross multiply
    17,763x = 24,052 × 24,052
  4. Step 4: Simplify right side
    17,763x = 578,498,704
  5. Step 5: Solve for x
    x = 578,498,704/17,763
  6. Step 6: Final answer
    x = 32,567.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.