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Finding the Third Proportional to 34,842 and 62,772

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Solution

The third proportional to 34,842 and 62,772 is: 113,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842 : 62,772 = 62,772 : x
  2. Step 2: Convert to fraction form
    34,842/62,772 = 62,772/x
  3. Step 3: Cross multiply
    34,842x = 62,772 × 62,772
  4. Step 4: Simplify right side
    34,842x = 3,940,323,984
  5. Step 5: Solve for x
    x = 3,940,323,984/34,842
  6. Step 6: Final answer
    x = 113,091.21

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.