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Finding the Third Proportional to 27,893 and 39,013

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Solution

The third proportional to 27,893 and 39,013 is: 54,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893 : 39,013 = 39,013 : x
  2. Step 2: Convert to fraction form
    27,893/39,013 = 39,013/x
  3. Step 3: Cross multiply
    27,893x = 39,013 × 39,013
  4. Step 4: Simplify right side
    27,893x = 1,522,014,169
  5. Step 5: Solve for x
    x = 1,522,014,169/27,893
  6. Step 6: Final answer
    x = 54,566.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.