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Finding the Third Proportional to 12,465.56 and 16,794.56

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Solution

The third proportional to 12,465.56 and 16,794.56 is: 22,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.56 : 16,794.56 = 16,794.56 : x
  2. Step 2: Convert to fraction form
    12,465.56/16,794.56 = 16,794.56/x
  3. Step 3: Cross multiply
    12,465.56x = 16,794.56 × 16,794.56
  4. Step 4: Simplify right side
    12,465.56x = 282,057,329.57
  5. Step 5: Solve for x
    x = 282,057,329.57/12,465.56
  6. Step 6: Final answer
    x = 22,626.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.