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Finding the Third Proportional to 39,854 and 94,019

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Solution

The third proportional to 39,854 and 94,019 is: 221,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,854 : 94,019 = 94,019 : x
  2. Step 2: Convert to fraction form
    39,854/94,019 = 94,019/x
  3. Step 3: Cross multiply
    39,854x = 94,019 × 94,019
  4. Step 4: Simplify right side
    39,854x = 8,839,572,361
  5. Step 5: Solve for x
    x = 8,839,572,361/39,854
  6. Step 6: Final answer
    x = 221,798.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.