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Finding the Third Proportional to 24,184 and 35,448

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Solution

The third proportional to 24,184 and 35,448 is: 51,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184 : 35,448 = 35,448 : x
  2. Step 2: Convert to fraction form
    24,184/35,448 = 35,448/x
  3. Step 3: Cross multiply
    24,184x = 35,448 × 35,448
  4. Step 4: Simplify right side
    24,184x = 1,256,560,704
  5. Step 5: Solve for x
    x = 1,256,560,704/24,184
  6. Step 6: Final answer
    x = 51,958.35

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Why These Related Problems?

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