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Finding the Third Proportional to 34,508 and 53,434

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Solution

The third proportional to 34,508 and 53,434 is: 82,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508 : 53,434 = 53,434 : x
  2. Step 2: Convert to fraction form
    34,508/53,434 = 53,434/x
  3. Step 3: Cross multiply
    34,508x = 53,434 × 53,434
  4. Step 4: Simplify right side
    34,508x = 2,855,192,356
  5. Step 5: Solve for x
    x = 2,855,192,356/34,508
  6. Step 6: Final answer
    x = 82,740.01

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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.