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Finding the Third Proportional to 24,059 and 35,890

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Solution

The third proportional to 24,059 and 35,890 is: 53,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059 : 35,890 = 35,890 : x
  2. Step 2: Convert to fraction form
    24,059/35,890 = 35,890/x
  3. Step 3: Cross multiply
    24,059x = 35,890 × 35,890
  4. Step 4: Simplify right side
    24,059x = 1,288,092,100
  5. Step 5: Solve for x
    x = 1,288,092,100/24,059
  6. Step 6: Final answer
    x = 53,538.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.