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Finding the Third Proportional to 27,769 and 59,973

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Solution

The third proportional to 27,769 and 59,973 is: 129,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 59,973 = 59,973 : x
  2. Step 2: Convert to fraction form
    27,769/59,973 = 59,973/x
  3. Step 3: Cross multiply
    27,769x = 59,973 × 59,973
  4. Step 4: Simplify right side
    27,769x = 3,596,760,729
  5. Step 5: Solve for x
    x = 3,596,760,729/27,769
  6. Step 6: Final answer
    x = 129,524.32

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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.