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Finding the Third Proportional to 7,188 and 10,118

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Solution

The third proportional to 7,188 and 10,118 is: 14,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188 : 10,118 = 10,118 : x
  2. Step 2: Convert to fraction form
    7,188/10,118 = 10,118/x
  3. Step 3: Cross multiply
    7,188x = 10,118 × 10,118
  4. Step 4: Simplify right side
    7,188x = 102,373,924
  5. Step 5: Solve for x
    x = 102,373,924/7,188
  6. Step 6: Final answer
    x = 14,242.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.