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Finding the Third Proportional to 24,683.75 and 35,272.38

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Solution

The third proportional to 24,683.75 and 35,272.38 is: 50,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683.75 : 35,272.38 = 35,272.38 : x
  2. Step 2: Convert to fraction form
    24,683.75/35,272.38 = 35,272.38/x
  3. Step 3: Cross multiply
    24,683.75x = 35,272.38 × 35,272.38
  4. Step 4: Simplify right side
    24,683.75x = 1,244,140,438.14
  5. Step 5: Solve for x
    x = 1,244,140,438.14/24,683.75
  6. Step 6: Final answer
    x = 50,403.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.