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Finding the Third Proportional to 24,150.50 and 35,503.75

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Solution

The third proportional to 24,150.50 and 35,503.75 is: 52,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150.50 : 35,503.75 = 35,503.75 : x
  2. Step 2: Convert to fraction form
    24,150.50/35,503.75 = 35,503.75/x
  3. Step 3: Cross multiply
    24,150.50x = 35,503.75 × 35,503.75
  4. Step 4: Simplify right side
    24,150.50x = 1,260,516,264.06
  5. Step 5: Solve for x
    x = 1,260,516,264.06/24,150.50
  6. Step 6: Final answer
    x = 52,194.21

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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.