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Finding the Third Proportional to 12,133.13 and 25,712.44

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Solution

The third proportional to 12,133.13 and 25,712.44 is: 54,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.13 : 25,712.44 = 25,712.44 : x
  2. Step 2: Convert to fraction form
    12,133.13/25,712.44 = 25,712.44/x
  3. Step 3: Cross multiply
    12,133.13x = 25,712.44 × 25,712.44
  4. Step 4: Simplify right side
    12,133.13x = 661,129,442.19
  5. Step 5: Solve for x
    x = 661,129,442.19/12,133.13
  6. Step 6: Final answer
    x = 54,489.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.