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Finding the Third Proportional to 24,906 and 38,082

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Solution

The third proportional to 24,906 and 38,082 is: 58,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906 : 38,082 = 38,082 : x
  2. Step 2: Convert to fraction form
    24,906/38,082 = 38,082/x
  3. Step 3: Cross multiply
    24,906x = 38,082 × 38,082
  4. Step 4: Simplify right side
    24,906x = 1,450,238,724
  5. Step 5: Solve for x
    x = 1,450,238,724/24,906
  6. Step 6: Final answer
    x = 58,228.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.