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Finding the Third Proportional to 29,982 and 65,842

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Solution

The third proportional to 29,982 and 65,842 is: 144,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 65,842 = 65,842 : x
  2. Step 2: Convert to fraction form
    29,982/65,842 = 65,842/x
  3. Step 3: Cross multiply
    29,982x = 65,842 × 65,842
  4. Step 4: Simplify right side
    29,982x = 4,335,168,964
  5. Step 5: Solve for x
    x = 4,335,168,964/29,982
  6. Step 6: Final answer
    x = 144,592.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.