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Finding the Third Proportional to 17,742 and 24,669

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Solution

The third proportional to 17,742 and 24,669 is: 34,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742 : 24,669 = 24,669 : x
  2. Step 2: Convert to fraction form
    17,742/24,669 = 24,669/x
  3. Step 3: Cross multiply
    17,742x = 24,669 × 24,669
  4. Step 4: Simplify right side
    17,742x = 608,559,561
  5. Step 5: Solve for x
    x = 608,559,561/17,742
  6. Step 6: Final answer
    x = 34,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.