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Finding the Third Proportional to 10,430 and 18,556

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Solution

The third proportional to 10,430 and 18,556 is: 33,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 18,556 = 18,556 : x
  2. Step 2: Convert to fraction form
    10,430/18,556 = 18,556/x
  3. Step 3: Cross multiply
    10,430x = 18,556 × 18,556
  4. Step 4: Simplify right side
    10,430x = 344,325,136
  5. Step 5: Solve for x
    x = 344,325,136/10,430
  6. Step 6: Final answer
    x = 33,012.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.