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Finding the Third Proportional to 14,271.19 and 22,249.69

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Solution

The third proportional to 14,271.19 and 22,249.69 is: 34,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.19 : 22,249.69 = 22,249.69 : x
  2. Step 2: Convert to fraction form
    14,271.19/22,249.69 = 22,249.69/x
  3. Step 3: Cross multiply
    14,271.19x = 22,249.69 × 22,249.69
  4. Step 4: Simplify right side
    14,271.19x = 495,048,593.85
  5. Step 5: Solve for x
    x = 495,048,593.85/14,271.19
  6. Step 6: Final answer
    x = 34,688.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.