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Finding the Third Proportional to 7,645.78 and 11,816.72

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Solution

The third proportional to 7,645.78 and 11,816.72 is: 18,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.78 : 11,816.72 = 11,816.72 : x
  2. Step 2: Convert to fraction form
    7,645.78/11,816.72 = 11,816.72/x
  3. Step 3: Cross multiply
    7,645.78x = 11,816.72 × 11,816.72
  4. Step 4: Simplify right side
    7,645.78x = 139,634,842.02
  5. Step 5: Solve for x
    x = 139,634,842.02/7,645.78
  6. Step 6: Final answer
    x = 18,262.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.