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Finding the Third Proportional to 36,247 and 51,043

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Solution

The third proportional to 36,247 and 51,043 is: 71,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,247 : 51,043 = 51,043 : x
  2. Step 2: Convert to fraction form
    36,247/51,043 = 51,043/x
  3. Step 3: Cross multiply
    36,247x = 51,043 × 51,043
  4. Step 4: Simplify right side
    36,247x = 2,605,387,849
  5. Step 5: Solve for x
    x = 2,605,387,849/36,247
  6. Step 6: Final answer
    x = 71,878.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.