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Finding the Third Proportional to 47,966 and 72,618

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Solution

The third proportional to 47,966 and 72,618 is: 109,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,966 : 72,618 = 72,618 : x
  2. Step 2: Convert to fraction form
    47,966/72,618 = 72,618/x
  3. Step 3: Cross multiply
    47,966x = 72,618 × 72,618
  4. Step 4: Simplify right side
    47,966x = 5,273,373,924
  5. Step 5: Solve for x
    x = 5,273,373,924/47,966
  6. Step 6: Final answer
    x = 109,939.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.