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Finding the Third Proportional to 43,407 and 89,847

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Solution

The third proportional to 43,407 and 89,847 is: 185,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407 : 89,847 = 89,847 : x
  2. Step 2: Convert to fraction form
    43,407/89,847 = 89,847/x
  3. Step 3: Cross multiply
    43,407x = 89,847 × 89,847
  4. Step 4: Simplify right side
    43,407x = 8,072,483,409
  5. Step 5: Solve for x
    x = 8,072,483,409/43,407
  6. Step 6: Final answer
    x = 185,971.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.