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Finding the Third Proportional to 9,144.75 and 12,421.50

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Solution

The third proportional to 9,144.75 and 12,421.50 is: 16,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.75 : 12,421.50 = 12,421.50 : x
  2. Step 2: Convert to fraction form
    9,144.75/12,421.50 = 12,421.50/x
  3. Step 3: Cross multiply
    9,144.75x = 12,421.50 × 12,421.50
  4. Step 4: Simplify right side
    9,144.75x = 154,293,662.25
  5. Step 5: Solve for x
    x = 154,293,662.25/9,144.75
  6. Step 6: Final answer
    x = 16,872.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.