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Finding the Third Proportional to 16,006 and 24,914

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Solution

The third proportional to 16,006 and 24,914 is: 38,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006 : 24,914 = 24,914 : x
  2. Step 2: Convert to fraction form
    16,006/24,914 = 24,914/x
  3. Step 3: Cross multiply
    16,006x = 24,914 × 24,914
  4. Step 4: Simplify right side
    16,006x = 620,707,396
  5. Step 5: Solve for x
    x = 620,707,396/16,006
  6. Step 6: Final answer
    x = 38,779.67

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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.