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Finding the Third Proportional to 38,982 and 58,823

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Solution

The third proportional to 38,982 and 58,823 is: 88,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982 : 58,823 = 58,823 : x
  2. Step 2: Convert to fraction form
    38,982/58,823 = 58,823/x
  3. Step 3: Cross multiply
    38,982x = 58,823 × 58,823
  4. Step 4: Simplify right side
    38,982x = 3,460,145,329
  5. Step 5: Solve for x
    x = 3,460,145,329/38,982
  6. Step 6: Final answer
    x = 88,762.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.