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Finding the Third Proportional to 11,661.47 and 25,145.44

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Solution

The third proportional to 11,661.47 and 25,145.44 is: 54,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.47 : 25,145.44 = 25,145.44 : x
  2. Step 2: Convert to fraction form
    11,661.47/25,145.44 = 25,145.44/x
  3. Step 3: Cross multiply
    11,661.47x = 25,145.44 × 25,145.44
  4. Step 4: Simplify right side
    11,661.47x = 632,293,027.07
  5. Step 5: Solve for x
    x = 632,293,027.07/11,661.47
  6. Step 6: Final answer
    x = 54,220.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.