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Finding the Third Proportional to 16,567 and 24,934

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Solution

The third proportional to 16,567 and 24,934 is: 37,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567 : 24,934 = 24,934 : x
  2. Step 2: Convert to fraction form
    16,567/24,934 = 24,934/x
  3. Step 3: Cross multiply
    16,567x = 24,934 × 24,934
  4. Step 4: Simplify right side
    16,567x = 621,704,356
  5. Step 5: Solve for x
    x = 621,704,356/16,567
  6. Step 6: Final answer
    x = 37,526.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.