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Finding the Third Proportional to 7,868 and 17,114

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Solution

The third proportional to 7,868 and 17,114 is: 37,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 17,114 = 17,114 : x
  2. Step 2: Convert to fraction form
    7,868/17,114 = 17,114/x
  3. Step 3: Cross multiply
    7,868x = 17,114 × 17,114
  4. Step 4: Simplify right side
    7,868x = 292,888,996
  5. Step 5: Solve for x
    x = 292,888,996/7,868
  6. Step 6: Final answer
    x = 37,225.34

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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.