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Finding the Third Proportional to 11,725.50 and 25,298.25

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Solution

The third proportional to 11,725.50 and 25,298.25 is: 54,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.50 : 25,298.25 = 25,298.25 : x
  2. Step 2: Convert to fraction form
    11,725.50/25,298.25 = 25,298.25/x
  3. Step 3: Cross multiply
    11,725.50x = 25,298.25 × 25,298.25
  4. Step 4: Simplify right side
    11,725.50x = 640,001,453.06
  5. Step 5: Solve for x
    x = 640,001,453.06/11,725.50
  6. Step 6: Final answer
    x = 54,582.02

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