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Finding the Third Proportional to 8,950.08 and 13,423.22

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Solution

The third proportional to 8,950.08 and 13,423.22 is: 20,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950.08 : 13,423.22 = 13,423.22 : x
  2. Step 2: Convert to fraction form
    8,950.08/13,423.22 = 13,423.22/x
  3. Step 3: Cross multiply
    8,950.08x = 13,423.22 × 13,423.22
  4. Step 4: Simplify right side
    8,950.08x = 180,182,801.61
  5. Step 5: Solve for x
    x = 180,182,801.61/8,950.08
  6. Step 6: Final answer
    x = 20,131.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.