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Finding the Third Proportional to 32,618 and 71,026

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Solution

The third proportional to 32,618 and 71,026 is: 154,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,618 : 71,026 = 71,026 : x
  2. Step 2: Convert to fraction form
    32,618/71,026 = 71,026/x
  3. Step 3: Cross multiply
    32,618x = 71,026 × 71,026
  4. Step 4: Simplify right side
    32,618x = 5,044,692,676
  5. Step 5: Solve for x
    x = 5,044,692,676/32,618
  6. Step 6: Final answer
    x = 154,659.78

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Why These Related Problems?

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