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Finding the Third Proportional to 11,966.63 and 25,562.25

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Solution

The third proportional to 11,966.63 and 25,562.25 is: 54,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.63 : 25,562.25 = 25,562.25 : x
  2. Step 2: Convert to fraction form
    11,966.63/25,562.25 = 25,562.25/x
  3. Step 3: Cross multiply
    11,966.63x = 25,562.25 × 25,562.25
  4. Step 4: Simplify right side
    11,966.63x = 653,428,625.06
  5. Step 5: Solve for x
    x = 653,428,625.06/11,966.63
  6. Step 6: Final answer
    x = 54,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.