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Finding the Third Proportional to 16,742 and 24,609

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Solution

The third proportional to 16,742 and 24,609 is: 36,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 24,609 = 24,609 : x
  2. Step 2: Convert to fraction form
    16,742/24,609 = 24,609/x
  3. Step 3: Cross multiply
    16,742x = 24,609 × 24,609
  4. Step 4: Simplify right side
    16,742x = 605,602,881
  5. Step 5: Solve for x
    x = 605,602,881/16,742
  6. Step 6: Final answer
    x = 36,172.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.