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Finding the Third Proportional to 27,964 and 60,842

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Solution

The third proportional to 27,964 and 60,842 is: 132,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964 : 60,842 = 60,842 : x
  2. Step 2: Convert to fraction form
    27,964/60,842 = 60,842/x
  3. Step 3: Cross multiply
    27,964x = 60,842 × 60,842
  4. Step 4: Simplify right side
    27,964x = 3,701,748,964
  5. Step 5: Solve for x
    x = 3,701,748,964/27,964
  6. Step 6: Final answer
    x = 132,375.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.