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Finding the Third Proportional to 12,069.56 and 17,672.27

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Solution

The third proportional to 12,069.56 and 17,672.27 is: 25,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.56 : 17,672.27 = 17,672.27 : x
  2. Step 2: Convert to fraction form
    12,069.56/17,672.27 = 17,672.27/x
  3. Step 3: Cross multiply
    12,069.56x = 17,672.27 × 17,672.27
  4. Step 4: Simplify right side
    12,069.56x = 312,309,248.45
  5. Step 5: Solve for x
    x = 312,309,248.45/12,069.56
  6. Step 6: Final answer
    x = 25,875.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.