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Finding the Third Proportional to 13,089 and 27,972

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Solution

The third proportional to 13,089 and 27,972 is: 59,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 27,972 = 27,972 : x
  2. Step 2: Convert to fraction form
    13,089/27,972 = 27,972/x
  3. Step 3: Cross multiply
    13,089x = 27,972 × 27,972
  4. Step 4: Simplify right side
    13,089x = 782,432,784
  5. Step 5: Solve for x
    x = 782,432,784/13,089
  6. Step 6: Final answer
    x = 59,777.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.