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Finding the Third Proportional to 23,786 and 58,872

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Solution

The third proportional to 23,786 and 58,872 is: 145,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786 : 58,872 = 58,872 : x
  2. Step 2: Convert to fraction form
    23,786/58,872 = 58,872/x
  3. Step 3: Cross multiply
    23,786x = 58,872 × 58,872
  4. Step 4: Simplify right side
    23,786x = 3,465,912,384
  5. Step 5: Solve for x
    x = 3,465,912,384/23,786
  6. Step 6: Final answer
    x = 145,712.28

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.