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Finding the Third Proportional to 32,724 and 49,032

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Solution

The third proportional to 32,724 and 49,032 is: 73,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 49,032 = 49,032 : x
  2. Step 2: Convert to fraction form
    32,724/49,032 = 49,032/x
  3. Step 3: Cross multiply
    32,724x = 49,032 × 49,032
  4. Step 4: Simplify right side
    32,724x = 2,404,137,024
  5. Step 5: Solve for x
    x = 2,404,137,024/32,724
  6. Step 6: Final answer
    x = 73,467.09

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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.