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Finding the Third Proportional to 10,588 and 18,692

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Solution

The third proportional to 10,588 and 18,692 is: 32,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 18,692 = 18,692 : x
  2. Step 2: Convert to fraction form
    10,588/18,692 = 18,692/x
  3. Step 3: Cross multiply
    10,588x = 18,692 × 18,692
  4. Step 4: Simplify right side
    10,588x = 349,390,864
  5. Step 5: Solve for x
    x = 349,390,864/10,588
  6. Step 6: Final answer
    x = 32,998.76

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.