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Finding the Third Proportional to 10,717 and 23,078

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Solution

The third proportional to 10,717 and 23,078 is: 49,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717 : 23,078 = 23,078 : x
  2. Step 2: Convert to fraction form
    10,717/23,078 = 23,078/x
  3. Step 3: Cross multiply
    10,717x = 23,078 × 23,078
  4. Step 4: Simplify right side
    10,717x = 532,594,084
  5. Step 5: Solve for x
    x = 532,594,084/10,717
  6. Step 6: Final answer
    x = 49,696.19

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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.