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Finding the Third Proportional to 24,238.50 and 35,559.75

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Solution

The third proportional to 24,238.50 and 35,559.75 is: 52,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.50 : 35,559.75 = 35,559.75 : x
  2. Step 2: Convert to fraction form
    24,238.50/35,559.75 = 35,559.75/x
  3. Step 3: Cross multiply
    24,238.50x = 35,559.75 × 35,559.75
  4. Step 4: Simplify right side
    24,238.50x = 1,264,495,820.06
  5. Step 5: Solve for x
    x = 1,264,495,820.06/24,238.50
  6. Step 6: Final answer
    x = 52,168.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.