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Finding the Third Proportional to 10,430 and 21,723

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Solution

The third proportional to 10,430 and 21,723 is: 45,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 21,723 = 21,723 : x
  2. Step 2: Convert to fraction form
    10,430/21,723 = 21,723/x
  3. Step 3: Cross multiply
    10,430x = 21,723 × 21,723
  4. Step 4: Simplify right side
    10,430x = 471,888,729
  5. Step 5: Solve for x
    x = 471,888,729/10,430
  6. Step 6: Final answer
    x = 45,243.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.