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Finding the Third Proportional to 16,911 and 24,037

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Solution

The third proportional to 16,911 and 24,037 is: 34,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911 : 24,037 = 24,037 : x
  2. Step 2: Convert to fraction form
    16,911/24,037 = 24,037/x
  3. Step 3: Cross multiply
    16,911x = 24,037 × 24,037
  4. Step 4: Simplify right side
    16,911x = 577,777,369
  5. Step 5: Solve for x
    x = 577,777,369/16,911
  6. Step 6: Final answer
    x = 34,165.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.