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Finding the Third Proportional to 14,884 and 32,516

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Solution

The third proportional to 14,884 and 32,516 is: 71,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 32,516 = 32,516 : x
  2. Step 2: Convert to fraction form
    14,884/32,516 = 32,516/x
  3. Step 3: Cross multiply
    14,884x = 32,516 × 32,516
  4. Step 4: Simplify right side
    14,884x = 1,057,290,256
  5. Step 5: Solve for x
    x = 1,057,290,256/14,884
  6. Step 6: Final answer
    x = 71,035.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.