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Finding the Third Proportional to 12,200.63 and 17,389.69

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Solution

The third proportional to 12,200.63 and 17,389.69 is: 24,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.63 : 17,389.69 = 17,389.69 : x
  2. Step 2: Convert to fraction form
    12,200.63/17,389.69 = 17,389.69/x
  3. Step 3: Cross multiply
    12,200.63x = 17,389.69 × 17,389.69
  4. Step 4: Simplify right side
    12,200.63x = 302,401,231.35
  5. Step 5: Solve for x
    x = 302,401,231.35/12,200.63
  6. Step 6: Final answer
    x = 24,785.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.