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Finding the Third Proportional to 12,203.16 and 25,135.31

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Solution

The third proportional to 12,203.16 and 25,135.31 is: 51,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.16 : 25,135.31 = 25,135.31 : x
  2. Step 2: Convert to fraction form
    12,203.16/25,135.31 = 25,135.31/x
  3. Step 3: Cross multiply
    12,203.16x = 25,135.31 × 25,135.31
  4. Step 4: Simplify right side
    12,203.16x = 631,783,934.47
  5. Step 5: Solve for x
    x = 631,783,934.47/12,203.16
  6. Step 6: Final answer
    x = 51,772.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.