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Finding the Third Proportional to 27,768 and 59,972

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Solution

The third proportional to 27,768 and 59,972 is: 129,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768 : 59,972 = 59,972 : x
  2. Step 2: Convert to fraction form
    27,768/59,972 = 59,972/x
  3. Step 3: Cross multiply
    27,768x = 59,972 × 59,972
  4. Step 4: Simplify right side
    27,768x = 3,596,640,784
  5. Step 5: Solve for x
    x = 3,596,640,784/27,768
  6. Step 6: Final answer
    x = 129,524.66

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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.