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Finding the Third Proportional to 15,474 and 32,788

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Solution

The third proportional to 15,474 and 32,788 is: 69,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 32,788 = 32,788 : x
  2. Step 2: Convert to fraction form
    15,474/32,788 = 32,788/x
  3. Step 3: Cross multiply
    15,474x = 32,788 × 32,788
  4. Step 4: Simplify right side
    15,474x = 1,075,052,944
  5. Step 5: Solve for x
    x = 1,075,052,944/15,474
  6. Step 6: Final answer
    x = 69,474.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.