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Finding the Third Proportional to 45,686 and 52,247

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Solution

The third proportional to 45,686 and 52,247 is: 59,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,686 : 52,247 = 52,247 : x
  2. Step 2: Convert to fraction form
    45,686/52,247 = 52,247/x
  3. Step 3: Cross multiply
    45,686x = 52,247 × 52,247
  4. Step 4: Simplify right side
    45,686x = 2,729,749,009
  5. Step 5: Solve for x
    x = 2,729,749,009/45,686
  6. Step 6: Final answer
    x = 59,750.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.