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Finding the Third Proportional to 32,873 and 69,842

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Solution

The third proportional to 32,873 and 69,842 is: 148,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873 : 69,842 = 69,842 : x
  2. Step 2: Convert to fraction form
    32,873/69,842 = 69,842/x
  3. Step 3: Cross multiply
    32,873x = 69,842 × 69,842
  4. Step 4: Simplify right side
    32,873x = 4,877,904,964
  5. Step 5: Solve for x
    x = 4,877,904,964/32,873
  6. Step 6: Final answer
    x = 148,386.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.