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Finding the Third Proportional to 24,302 and 35,121

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Solution

The third proportional to 24,302 and 35,121 is: 50,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 35,121 = 35,121 : x
  2. Step 2: Convert to fraction form
    24,302/35,121 = 35,121/x
  3. Step 3: Cross multiply
    24,302x = 35,121 × 35,121
  4. Step 4: Simplify right side
    24,302x = 1,233,484,641
  5. Step 5: Solve for x
    x = 1,233,484,641/24,302
  6. Step 6: Final answer
    x = 50,756.51

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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.