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Finding the Third Proportional to 7,051 and 11,165

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Solution

The third proportional to 7,051 and 11,165 is: 17,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051 : 11,165 = 11,165 : x
  2. Step 2: Convert to fraction form
    7,051/11,165 = 11,165/x
  3. Step 3: Cross multiply
    7,051x = 11,165 × 11,165
  4. Step 4: Simplify right side
    7,051x = 124,657,225
  5. Step 5: Solve for x
    x = 124,657,225/7,051
  6. Step 6: Final answer
    x = 17,679.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.