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Finding the Third Proportional to 27,982 and 42,702

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Solution

The third proportional to 27,982 and 42,702 is: 65,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982 : 42,702 = 42,702 : x
  2. Step 2: Convert to fraction form
    27,982/42,702 = 42,702/x
  3. Step 3: Cross multiply
    27,982x = 42,702 × 42,702
  4. Step 4: Simplify right side
    27,982x = 1,823,460,804
  5. Step 5: Solve for x
    x = 1,823,460,804/27,982
  6. Step 6: Final answer
    x = 65,165.49

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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.