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Finding the Third Proportional to 24,310.13 and 33,346.69

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Solution

The third proportional to 24,310.13 and 33,346.69 is: 45,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.13 : 33,346.69 = 33,346.69 : x
  2. Step 2: Convert to fraction form
    24,310.13/33,346.69 = 33,346.69/x
  3. Step 3: Cross multiply
    24,310.13x = 33,346.69 × 33,346.69
  4. Step 4: Simplify right side
    24,310.13x = 1,112,001,567.22
  5. Step 5: Solve for x
    x = 1,112,001,567.22/24,310.13
  6. Step 6: Final answer
    x = 45,742.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.