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Finding the Third Proportional to 21,014.44 and 31,524.19

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Solution

The third proportional to 21,014.44 and 31,524.19 is: 47,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.44 : 31,524.19 = 31,524.19 : x
  2. Step 2: Convert to fraction form
    21,014.44/31,524.19 = 31,524.19/x
  3. Step 3: Cross multiply
    21,014.44x = 31,524.19 × 31,524.19
  4. Step 4: Simplify right side
    21,014.44x = 993,774,397.54
  5. Step 5: Solve for x
    x = 993,774,397.54/21,014.44
  6. Step 6: Final answer
    x = 47,290.08

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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.