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Finding the Third Proportional to 11,631.50 and 25,004.50

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Solution

The third proportional to 11,631.50 and 25,004.50 is: 53,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.50 : 25,004.50 = 25,004.50 : x
  2. Step 2: Convert to fraction form
    11,631.50/25,004.50 = 25,004.50/x
  3. Step 3: Cross multiply
    11,631.50x = 25,004.50 × 25,004.50
  4. Step 4: Simplify right side
    11,631.50x = 625,225,020.25
  5. Step 5: Solve for x
    x = 625,225,020.25/11,631.50
  6. Step 6: Final answer
    x = 53,752.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.