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Finding the Third Proportional to 12,043.69 and 14,709.09

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Solution

The third proportional to 12,043.69 and 14,709.09 is: 17,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.69 : 14,709.09 = 14,709.09 : x
  2. Step 2: Convert to fraction form
    12,043.69/14,709.09 = 14,709.09/x
  3. Step 3: Cross multiply
    12,043.69x = 14,709.09 × 14,709.09
  4. Step 4: Simplify right side
    12,043.69x = 216,357,438.95
  5. Step 5: Solve for x
    x = 216,357,438.95/12,043.69
  6. Step 6: Final answer
    x = 17,964.38

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.