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Finding the Third Proportional to 27,972 and 61,032

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Solution

The third proportional to 27,972 and 61,032 is: 133,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 61,032 = 61,032 : x
  2. Step 2: Convert to fraction form
    27,972/61,032 = 61,032/x
  3. Step 3: Cross multiply
    27,972x = 61,032 × 61,032
  4. Step 4: Simplify right side
    27,972x = 3,724,905,024
  5. Step 5: Solve for x
    x = 3,724,905,024/27,972
  6. Step 6: Final answer
    x = 133,165.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.