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Finding the Third Proportional to 24,078 and 35,019

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Solution

The third proportional to 24,078 and 35,019 is: 50,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078 : 35,019 = 35,019 : x
  2. Step 2: Convert to fraction form
    24,078/35,019 = 35,019/x
  3. Step 3: Cross multiply
    24,078x = 35,019 × 35,019
  4. Step 4: Simplify right side
    24,078x = 1,226,330,361
  5. Step 5: Solve for x
    x = 1,226,330,361/24,078
  6. Step 6: Final answer
    x = 50,931.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.