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Finding the Third Proportional to 24,114 and 58,089

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Solution

The third proportional to 24,114 and 58,089 is: 139,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 58,089 = 58,089 : x
  2. Step 2: Convert to fraction form
    24,114/58,089 = 58,089/x
  3. Step 3: Cross multiply
    24,114x = 58,089 × 58,089
  4. Step 4: Simplify right side
    24,114x = 3,374,331,921
  5. Step 5: Solve for x
    x = 3,374,331,921/24,114
  6. Step 6: Final answer
    x = 139,932.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.