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Finding the Third Proportional to 15,887 and 34,078

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Solution

The third proportional to 15,887 and 34,078 is: 73,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887 : 34,078 = 34,078 : x
  2. Step 2: Convert to fraction form
    15,887/34,078 = 34,078/x
  3. Step 3: Cross multiply
    15,887x = 34,078 × 34,078
  4. Step 4: Simplify right side
    15,887x = 1,161,310,084
  5. Step 5: Solve for x
    x = 1,161,310,084/15,887
  6. Step 6: Final answer
    x = 73,098.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.