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Finding the Third Proportional to 45,424 and 69,600

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Solution

The third proportional to 45,424 and 69,600 is: 106,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424 : 69,600 = 69,600 : x
  2. Step 2: Convert to fraction form
    45,424/69,600 = 69,600/x
  3. Step 3: Cross multiply
    45,424x = 69,600 × 69,600
  4. Step 4: Simplify right side
    45,424x = 4,844,160,000
  5. Step 5: Solve for x
    x = 4,844,160,000/45,424
  6. Step 6: Final answer
    x = 106,643.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.