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Finding the Third Proportional to 15,763 and 23,972

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Solution

The third proportional to 15,763 and 23,972 is: 36,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763 : 23,972 = 23,972 : x
  2. Step 2: Convert to fraction form
    15,763/23,972 = 23,972/x
  3. Step 3: Cross multiply
    15,763x = 23,972 × 23,972
  4. Step 4: Simplify right side
    15,763x = 574,656,784
  5. Step 5: Solve for x
    x = 574,656,784/15,763
  6. Step 6: Final answer
    x = 36,456.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.