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Finding the Third Proportional to 15,742 and 22,037

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Solution

The third proportional to 15,742 and 22,037 is: 30,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742 : 22,037 = 22,037 : x
  2. Step 2: Convert to fraction form
    15,742/22,037 = 22,037/x
  3. Step 3: Cross multiply
    15,742x = 22,037 × 22,037
  4. Step 4: Simplify right side
    15,742x = 485,629,369
  5. Step 5: Solve for x
    x = 485,629,369/15,742
  6. Step 6: Final answer
    x = 30,849.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.