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Finding the Third Proportional to 14,136.19 and 21,385.69

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Solution

The third proportional to 14,136.19 and 21,385.69 is: 32,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.19 : 21,385.69 = 21,385.69 : x
  2. Step 2: Convert to fraction form
    14,136.19/21,385.69 = 21,385.69/x
  3. Step 3: Cross multiply
    14,136.19x = 21,385.69 × 21,385.69
  4. Step 4: Simplify right side
    14,136.19x = 457,347,629.85
  5. Step 5: Solve for x
    x = 457,347,629.85/14,136.19
  6. Step 6: Final answer
    x = 32,352.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.