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Finding the Third Proportional to 24,577 and 38,978

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Solution

The third proportional to 24,577 and 38,978 is: 61,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577 : 38,978 = 38,978 : x
  2. Step 2: Convert to fraction form
    24,577/38,978 = 38,978/x
  3. Step 3: Cross multiply
    24,577x = 38,978 × 38,978
  4. Step 4: Simplify right side
    24,577x = 1,519,284,484
  5. Step 5: Solve for x
    x = 1,519,284,484/24,577
  6. Step 6: Final answer
    x = 61,817.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.