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Finding the Third Proportional to 43,784 and 69,341

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Solution

The third proportional to 43,784 and 69,341 is: 109,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784 : 69,341 = 69,341 : x
  2. Step 2: Convert to fraction form
    43,784/69,341 = 69,341/x
  3. Step 3: Cross multiply
    43,784x = 69,341 × 69,341
  4. Step 4: Simplify right side
    43,784x = 4,808,174,281
  5. Step 5: Solve for x
    x = 4,808,174,281/43,784
  6. Step 6: Final answer
    x = 109,815.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.