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Finding the Third Proportional to 53,448 and 82,837

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Solution

The third proportional to 53,448 and 82,837 is: 128,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448 : 82,837 = 82,837 : x
  2. Step 2: Convert to fraction form
    53,448/82,837 = 82,837/x
  3. Step 3: Cross multiply
    53,448x = 82,837 × 82,837
  4. Step 4: Simplify right side
    53,448x = 6,861,968,569
  5. Step 5: Solve for x
    x = 6,861,968,569/53,448
  6. Step 6: Final answer
    x = 128,385.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.