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Finding the Third Proportional to 24,688.13 and 35,911.69

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Solution

The third proportional to 24,688.13 and 35,911.69 is: 52,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.13 : 35,911.69 = 35,911.69 : x
  2. Step 2: Convert to fraction form
    24,688.13/35,911.69 = 35,911.69/x
  3. Step 3: Cross multiply
    24,688.13x = 35,911.69 × 35,911.69
  4. Step 4: Simplify right side
    24,688.13x = 1,289,649,299.10
  5. Step 5: Solve for x
    x = 1,289,649,299.10/24,688.13
  6. Step 6: Final answer
    x = 52,237.64

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.