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Finding the Third Proportional to 34,924 and 52,530

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Solution

The third proportional to 34,924 and 52,530 is: 79,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,924 : 52,530 = 52,530 : x
  2. Step 2: Convert to fraction form
    34,924/52,530 = 52,530/x
  3. Step 3: Cross multiply
    34,924x = 52,530 × 52,530
  4. Step 4: Simplify right side
    34,924x = 2,759,400,900
  5. Step 5: Solve for x
    x = 2,759,400,900/34,924
  6. Step 6: Final answer
    x = 79,011.59

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