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Finding the Third Proportional to 27,583 and 43,696

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Solution

The third proportional to 27,583 and 43,696 is: 69,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583 : 43,696 = 43,696 : x
  2. Step 2: Convert to fraction form
    27,583/43,696 = 43,696/x
  3. Step 3: Cross multiply
    27,583x = 43,696 × 43,696
  4. Step 4: Simplify right side
    27,583x = 1,909,340,416
  5. Step 5: Solve for x
    x = 1,909,340,416/27,583
  6. Step 6: Final answer
    x = 69,221.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.