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Finding the Third Proportional to 45,014 and 69,877

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Solution

The third proportional to 45,014 and 69,877 is: 108,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,014 : 69,877 = 69,877 : x
  2. Step 2: Convert to fraction form
    45,014/69,877 = 69,877/x
  3. Step 3: Cross multiply
    45,014x = 69,877 × 69,877
  4. Step 4: Simplify right side
    45,014x = 4,882,795,129
  5. Step 5: Solve for x
    x = 4,882,795,129/45,014
  6. Step 6: Final answer
    x = 108,472.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.