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Finding the Third Proportional to 27,261 and 39,999

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Solution

The third proportional to 27,261 and 39,999 is: 58,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261 : 39,999 = 39,999 : x
  2. Step 2: Convert to fraction form
    27,261/39,999 = 39,999/x
  3. Step 3: Cross multiply
    27,261x = 39,999 × 39,999
  4. Step 4: Simplify right side
    27,261x = 1,599,920,001
  5. Step 5: Solve for x
    x = 1,599,920,001/27,261
  6. Step 6: Final answer
    x = 58,688.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.