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Finding the Third Proportional to 10,403 and 22,723

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Solution

The third proportional to 10,403 and 22,723 is: 49,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403 : 22,723 = 22,723 : x
  2. Step 2: Convert to fraction form
    10,403/22,723 = 22,723/x
  3. Step 3: Cross multiply
    10,403x = 22,723 × 22,723
  4. Step 4: Simplify right side
    10,403x = 516,334,729
  5. Step 5: Solve for x
    x = 516,334,729/10,403
  6. Step 6: Final answer
    x = 49,633.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.