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Finding the Third Proportional to 8,423.16 and 13,045.22

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Solution

The third proportional to 8,423.16 and 13,045.22 is: 20,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.16 : 13,045.22 = 13,045.22 : x
  2. Step 2: Convert to fraction form
    8,423.16/13,045.22 = 13,045.22/x
  3. Step 3: Cross multiply
    8,423.16x = 13,045.22 × 13,045.22
  4. Step 4: Simplify right side
    8,423.16x = 170,177,732.24
  5. Step 5: Solve for x
    x = 170,177,732.24/8,423.16
  6. Step 6: Final answer
    x = 20,203.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.