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Finding the Third Proportional to 35,329 and 52,994

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Solution

The third proportional to 35,329 and 52,994 is: 79,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,329 : 52,994 = 52,994 : x
  2. Step 2: Convert to fraction form
    35,329/52,994 = 52,994/x
  3. Step 3: Cross multiply
    35,329x = 52,994 × 52,994
  4. Step 4: Simplify right side
    35,329x = 2,808,364,036
  5. Step 5: Solve for x
    x = 2,808,364,036/35,329
  6. Step 6: Final answer
    x = 79,491.75

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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.