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Finding the Third Proportional to 21,657.38 and 32,396.63

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Solution

The third proportional to 21,657.38 and 32,396.63 is: 48,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.38 : 32,396.63 = 32,396.63 : x
  2. Step 2: Convert to fraction form
    21,657.38/32,396.63 = 32,396.63/x
  3. Step 3: Cross multiply
    21,657.38x = 32,396.63 × 32,396.63
  4. Step 4: Simplify right side
    21,657.38x = 1,049,541,311.39
  5. Step 5: Solve for x
    x = 1,049,541,311.39/21,657.38
  6. Step 6: Final answer
    x = 48,461.15

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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.