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Finding the Third Proportional to 7,821.56 and 11,925.98

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Solution

The third proportional to 7,821.56 and 11,925.98 is: 18,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.56 : 11,925.98 = 11,925.98 : x
  2. Step 2: Convert to fraction form
    7,821.56/11,925.98 = 11,925.98/x
  3. Step 3: Cross multiply
    7,821.56x = 11,925.98 × 11,925.98
  4. Step 4: Simplify right side
    7,821.56x = 142,229,103.31
  5. Step 5: Solve for x
    x = 142,229,103.31/7,821.56
  6. Step 6: Final answer
    x = 18,184.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.