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Finding the Third Proportional to 12,191.25 and 16,558.88

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Solution

The third proportional to 12,191.25 and 16,558.88 is: 22,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.25 : 16,558.88 = 16,558.88 : x
  2. Step 2: Convert to fraction form
    12,191.25/16,558.88 = 16,558.88/x
  3. Step 3: Cross multiply
    12,191.25x = 16,558.88 × 16,558.88
  4. Step 4: Simplify right side
    12,191.25x = 274,196,341.27
  5. Step 5: Solve for x
    x = 274,196,341.27/12,191.25
  6. Step 6: Final answer
    x = 22,491.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.