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Finding the Third Proportional to 27,029 and 39,848

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Solution

The third proportional to 27,029 and 39,848 is: 58,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029 : 39,848 = 39,848 : x
  2. Step 2: Convert to fraction form
    27,029/39,848 = 39,848/x
  3. Step 3: Cross multiply
    27,029x = 39,848 × 39,848
  4. Step 4: Simplify right side
    27,029x = 1,587,863,104
  5. Step 5: Solve for x
    x = 1,587,863,104/27,029
  6. Step 6: Final answer
    x = 58,746.65

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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.