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Finding the Third Proportional to 40,618 and 94,023

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Solution

The third proportional to 40,618 and 94,023 is: 217,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,618 : 94,023 = 94,023 : x
  2. Step 2: Convert to fraction form
    40,618/94,023 = 94,023/x
  3. Step 3: Cross multiply
    40,618x = 94,023 × 94,023
  4. Step 4: Simplify right side
    40,618x = 8,840,324,529
  5. Step 5: Solve for x
    x = 8,840,324,529/40,618
  6. Step 6: Final answer
    x = 217,645.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.