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Finding the Third Proportional to 18,854 and 41,434

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Solution

The third proportional to 18,854 and 41,434 is: 91,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,854 : 41,434 = 41,434 : x
  2. Step 2: Convert to fraction form
    18,854/41,434 = 41,434/x
  3. Step 3: Cross multiply
    18,854x = 41,434 × 41,434
  4. Step 4: Simplify right side
    18,854x = 1,716,776,356
  5. Step 5: Solve for x
    x = 1,716,776,356/18,854
  6. Step 6: Final answer
    x = 91,056.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.