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Finding the Third Proportional to 14,932 and 16,516

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Solution

The third proportional to 14,932 and 16,516 is: 18,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932 : 16,516 = 16,516 : x
  2. Step 2: Convert to fraction form
    14,932/16,516 = 16,516/x
  3. Step 3: Cross multiply
    14,932x = 16,516 × 16,516
  4. Step 4: Simplify right side
    14,932x = 272,778,256
  5. Step 5: Solve for x
    x = 272,778,256/14,932
  6. Step 6: Final answer
    x = 18,268.03

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.