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Finding the Third Proportional to 10,014 and 11,646

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Solution

The third proportional to 10,014 and 11,646 is: 13,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 11,646 = 11,646 : x
  2. Step 2: Convert to fraction form
    10,014/11,646 = 11,646/x
  3. Step 3: Cross multiply
    10,014x = 11,646 × 11,646
  4. Step 4: Simplify right side
    10,014x = 135,629,316
  5. Step 5: Solve for x
    x = 135,629,316/10,014
  6. Step 6: Final answer
    x = 13,543.97

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.