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Finding the Third Proportional to 12,206.53 and 25,384.78

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Solution

The third proportional to 12,206.53 and 25,384.78 is: 52,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.53 : 25,384.78 = 25,384.78 : x
  2. Step 2: Convert to fraction form
    12,206.53/25,384.78 = 25,384.78/x
  3. Step 3: Cross multiply
    12,206.53x = 25,384.78 × 25,384.78
  4. Step 4: Simplify right side
    12,206.53x = 644,387,119.11
  5. Step 5: Solve for x
    x = 644,387,119.11/12,206.53
  6. Step 6: Final answer
    x = 52,790.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.