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Finding the Third Proportional to 45,384 and 69,990

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Solution

The third proportional to 45,384 and 69,990 is: 107,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384 : 69,990 = 69,990 : x
  2. Step 2: Convert to fraction form
    45,384/69,990 = 69,990/x
  3. Step 3: Cross multiply
    45,384x = 69,990 × 69,990
  4. Step 4: Simplify right side
    45,384x = 4,898,600,100
  5. Step 5: Solve for x
    x = 4,898,600,100/45,384
  6. Step 6: Final answer
    x = 107,936.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.