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Finding the Third Proportional to 15,999 and 34,887

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Solution

The third proportional to 15,999 and 34,887 is: 76,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999 : 34,887 = 34,887 : x
  2. Step 2: Convert to fraction form
    15,999/34,887 = 34,887/x
  3. Step 3: Cross multiply
    15,999x = 34,887 × 34,887
  4. Step 4: Simplify right side
    15,999x = 1,217,102,769
  5. Step 5: Solve for x
    x = 1,217,102,769/15,999
  6. Step 6: Final answer
    x = 76,073.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.