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Finding the Third Proportional to 21,523.48 and 32,306.84

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Solution

The third proportional to 21,523.48 and 32,306.84 is: 48,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.48 : 32,306.84 = 32,306.84 : x
  2. Step 2: Convert to fraction form
    21,523.48/32,306.84 = 32,306.84/x
  3. Step 3: Cross multiply
    21,523.48x = 32,306.84 × 32,306.84
  4. Step 4: Simplify right side
    21,523.48x = 1,043,731,790.27
  5. Step 5: Solve for x
    x = 1,043,731,790.27/21,523.48
  6. Step 6: Final answer
    x = 48,492.72

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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.