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Finding the Third Proportional to 41,276 and 53,704

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Solution

The third proportional to 41,276 and 53,704 is: 69,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,276 : 53,704 = 53,704 : x
  2. Step 2: Convert to fraction form
    41,276/53,704 = 53,704/x
  3. Step 3: Cross multiply
    41,276x = 53,704 × 53,704
  4. Step 4: Simplify right side
    41,276x = 2,884,119,616
  5. Step 5: Solve for x
    x = 2,884,119,616/41,276
  6. Step 6: Final answer
    x = 69,874.01

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.