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Finding the Third Proportional to 27,006 and 58,044

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Solution

The third proportional to 27,006 and 58,044 is: 124,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 58,044 = 58,044 : x
  2. Step 2: Convert to fraction form
    27,006/58,044 = 58,044/x
  3. Step 3: Cross multiply
    27,006x = 58,044 × 58,044
  4. Step 4: Simplify right side
    27,006x = 3,369,105,936
  5. Step 5: Solve for x
    x = 3,369,105,936/27,006
  6. Step 6: Final answer
    x = 124,753.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.