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Finding the Third Proportional to 11,301.75 and 24,628.50

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Solution

The third proportional to 11,301.75 and 24,628.50 is: 53,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.75 : 24,628.50 = 24,628.50 : x
  2. Step 2: Convert to fraction form
    11,301.75/24,628.50 = 24,628.50/x
  3. Step 3: Cross multiply
    11,301.75x = 24,628.50 × 24,628.50
  4. Step 4: Simplify right side
    11,301.75x = 606,563,012.25
  5. Step 5: Solve for x
    x = 606,563,012.25/11,301.75
  6. Step 6: Final answer
    x = 53,669.83

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