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Finding the Third Proportional to 27,644 and 59,704

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Solution

The third proportional to 27,644 and 59,704 is: 128,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644 : 59,704 = 59,704 : x
  2. Step 2: Convert to fraction form
    27,644/59,704 = 59,704/x
  3. Step 3: Cross multiply
    27,644x = 59,704 × 59,704
  4. Step 4: Simplify right side
    27,644x = 3,564,567,616
  5. Step 5: Solve for x
    x = 3,564,567,616/27,644
  6. Step 6: Final answer
    x = 128,945.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.