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Finding the Third Proportional to 11,632.50 and 24,248.25

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Solution

The third proportional to 11,632.50 and 24,248.25 is: 50,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.50 : 24,248.25 = 24,248.25 : x
  2. Step 2: Convert to fraction form
    11,632.50/24,248.25 = 24,248.25/x
  3. Step 3: Cross multiply
    11,632.50x = 24,248.25 × 24,248.25
  4. Step 4: Simplify right side
    11,632.50x = 587,977,628.06
  5. Step 5: Solve for x
    x = 587,977,628.06/11,632.50
  6. Step 6: Final answer
    x = 50,546.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.