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Finding the Third Proportional to 32,618 and 62,644

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Solution

The third proportional to 32,618 and 62,644 is: 120,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,618 : 62,644 = 62,644 : x
  2. Step 2: Convert to fraction form
    32,618/62,644 = 62,644/x
  3. Step 3: Cross multiply
    32,618x = 62,644 × 62,644
  4. Step 4: Simplify right side
    32,618x = 3,924,270,736
  5. Step 5: Solve for x
    x = 3,924,270,736/32,618
  6. Step 6: Final answer
    x = 120,309.97

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.