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Finding the Third Proportional to 15,454.23 and 16,867.02

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Solution

The third proportional to 15,454.23 and 16,867.02 is: 18,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.23 : 16,867.02 = 16,867.02 : x
  2. Step 2: Convert to fraction form
    15,454.23/16,867.02 = 16,867.02/x
  3. Step 3: Cross multiply
    15,454.23x = 16,867.02 × 16,867.02
  4. Step 4: Simplify right side
    15,454.23x = 284,496,496.11
  5. Step 5: Solve for x
    x = 284,496,496.11/15,454.23
  6. Step 6: Final answer
    x = 18,408.97

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.