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Finding the Third Proportional to 27,767 and 59,969

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Solution

The third proportional to 27,767 and 59,969 is: 129,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767 : 59,969 = 59,969 : x
  2. Step 2: Convert to fraction form
    27,767/59,969 = 59,969/x
  3. Step 3: Cross multiply
    27,767x = 59,969 × 59,969
  4. Step 4: Simplify right side
    27,767x = 3,596,280,961
  5. Step 5: Solve for x
    x = 3,596,280,961/27,767
  6. Step 6: Final answer
    x = 129,516.37

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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.