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Finding the Third Proportional to 10,813.50 and 12,408.19

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Solution

The third proportional to 10,813.50 and 12,408.19 is: 14,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.50 : 12,408.19 = 12,408.19 : x
  2. Step 2: Convert to fraction form
    10,813.50/12,408.19 = 12,408.19/x
  3. Step 3: Cross multiply
    10,813.50x = 12,408.19 × 12,408.19
  4. Step 4: Simplify right side
    10,813.50x = 153,963,117.04
  5. Step 5: Solve for x
    x = 153,963,117.04/10,813.50
  6. Step 6: Final answer
    x = 14,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.