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Finding the Third Proportional to 34,926 and 52,533

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Solution

The third proportional to 34,926 and 52,533 is: 79,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,926 : 52,533 = 52,533 : x
  2. Step 2: Convert to fraction form
    34,926/52,533 = 52,533/x
  3. Step 3: Cross multiply
    34,926x = 52,533 × 52,533
  4. Step 4: Simplify right side
    34,926x = 2,759,716,089
  5. Step 5: Solve for x
    x = 2,759,716,089/34,926
  6. Step 6: Final answer
    x = 79,016.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.