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Finding the Third Proportional to 21,181.50 and 32,904.56

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Solution

The third proportional to 21,181.50 and 32,904.56 is: 51,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.50 : 32,904.56 = 32,904.56 : x
  2. Step 2: Convert to fraction form
    21,181.50/32,904.56 = 32,904.56/x
  3. Step 3: Cross multiply
    21,181.50x = 32,904.56 × 32,904.56
  4. Step 4: Simplify right side
    21,181.50x = 1,082,710,233.32
  5. Step 5: Solve for x
    x = 1,082,710,233.32/21,181.50
  6. Step 6: Final answer
    x = 51,115.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.