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Finding the Third Proportional to 14,696 and 32,296

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Solution

The third proportional to 14,696 and 32,296 is: 70,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696 : 32,296 = 32,296 : x
  2. Step 2: Convert to fraction form
    14,696/32,296 = 32,296/x
  3. Step 3: Cross multiply
    14,696x = 32,296 × 32,296
  4. Step 4: Simplify right side
    14,696x = 1,043,031,616
  5. Step 5: Solve for x
    x = 1,043,031,616/14,696
  6. Step 6: Final answer
    x = 70,973.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.