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Finding the Third Proportional to 24,027.10 and 35,842.03

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Solution

The third proportional to 24,027.10 and 35,842.03 is: 53,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027.10 : 35,842.03 = 35,842.03 : x
  2. Step 2: Convert to fraction form
    24,027.10/35,842.03 = 35,842.03/x
  3. Step 3: Cross multiply
    24,027.10x = 35,842.03 × 35,842.03
  4. Step 4: Simplify right side
    24,027.10x = 1,284,650,784.10
  5. Step 5: Solve for x
    x = 1,284,650,784.10/24,027.10
  6. Step 6: Final answer
    x = 53,466.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.