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Finding the Third Proportional to 22,618 and 47,015

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Solution

The third proportional to 22,618 and 47,015 is: 97,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618 : 47,015 = 47,015 : x
  2. Step 2: Convert to fraction form
    22,618/47,015 = 47,015/x
  3. Step 3: Cross multiply
    22,618x = 47,015 × 47,015
  4. Step 4: Simplify right side
    22,618x = 2,210,410,225
  5. Step 5: Solve for x
    x = 2,210,410,225/22,618
  6. Step 6: Final answer
    x = 97,727.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.