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Finding the Third Proportional to 11,576.25 and 25,292.25

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Solution

The third proportional to 11,576.25 and 25,292.25 is: 55,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.25 : 25,292.25 = 25,292.25 : x
  2. Step 2: Convert to fraction form
    11,576.25/25,292.25 = 25,292.25/x
  3. Step 3: Cross multiply
    11,576.25x = 25,292.25 × 25,292.25
  4. Step 4: Simplify right side
    11,576.25x = 639,697,910.06
  5. Step 5: Solve for x
    x = 639,697,910.06/11,576.25
  6. Step 6: Final answer
    x = 55,259.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.