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Finding the Third Proportional to 15,768 and 23,980

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Solution

The third proportional to 15,768 and 23,980 is: 36,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 23,980 = 23,980 : x
  2. Step 2: Convert to fraction form
    15,768/23,980 = 23,980/x
  3. Step 3: Cross multiply
    15,768x = 23,980 × 23,980
  4. Step 4: Simplify right side
    15,768x = 575,040,400
  5. Step 5: Solve for x
    x = 575,040,400/15,768
  6. Step 6: Final answer
    x = 36,468.82

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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.