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Finding the Third Proportional to 27,948 and 43,650

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Solution

The third proportional to 27,948 and 43,650 is: 68,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948 : 43,650 = 43,650 : x
  2. Step 2: Convert to fraction form
    27,948/43,650 = 43,650/x
  3. Step 3: Cross multiply
    27,948x = 43,650 × 43,650
  4. Step 4: Simplify right side
    27,948x = 1,905,322,500
  5. Step 5: Solve for x
    x = 1,905,322,500/27,948
  6. Step 6: Final answer
    x = 68,173.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.