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Finding the Third Proportional to 24,250 and 58,978

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Solution

The third proportional to 24,250 and 58,978 is: 143,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,250 : 58,978 = 58,978 : x
  2. Step 2: Convert to fraction form
    24,250/58,978 = 58,978/x
  3. Step 3: Cross multiply
    24,250x = 58,978 × 58,978
  4. Step 4: Simplify right side
    24,250x = 3,478,404,484
  5. Step 5: Solve for x
    x = 3,478,404,484/24,250
  6. Step 6: Final answer
    x = 143,439.36

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.