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Finding the Third Proportional to 7,842.45 and 12,336.05

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Solution

The third proportional to 7,842.45 and 12,336.05 is: 19,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.45 : 12,336.05 = 12,336.05 : x
  2. Step 2: Convert to fraction form
    7,842.45/12,336.05 = 12,336.05/x
  3. Step 3: Cross multiply
    7,842.45x = 12,336.05 × 12,336.05
  4. Step 4: Simplify right side
    7,842.45x = 152,178,052.50
  5. Step 5: Solve for x
    x = 152,178,052.50/7,842.45
  6. Step 6: Final answer
    x = 19,404.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.