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Finding the Third Proportional to 27,834 and 61,887

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Solution

The third proportional to 27,834 and 61,887 is: 137,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834 : 61,887 = 61,887 : x
  2. Step 2: Convert to fraction form
    27,834/61,887 = 61,887/x
  3. Step 3: Cross multiply
    27,834x = 61,887 × 61,887
  4. Step 4: Simplify right side
    27,834x = 3,830,000,769
  5. Step 5: Solve for x
    x = 3,830,000,769/27,834
  6. Step 6: Final answer
    x = 137,601.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.