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Finding the Third Proportional to 10,074 and 15,723

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Solution

The third proportional to 10,074 and 15,723 is: 24,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 15,723 = 15,723 : x
  2. Step 2: Convert to fraction form
    10,074/15,723 = 15,723/x
  3. Step 3: Cross multiply
    10,074x = 15,723 × 15,723
  4. Step 4: Simplify right side
    10,074x = 247,212,729
  5. Step 5: Solve for x
    x = 247,212,729/10,074
  6. Step 6: Final answer
    x = 24,539.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.