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Finding the Third Proportional to 7,699.22 and 16,491.94

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Solution

The third proportional to 7,699.22 and 16,491.94 is: 35,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.22 : 16,491.94 = 16,491.94 : x
  2. Step 2: Convert to fraction form
    7,699.22/16,491.94 = 16,491.94/x
  3. Step 3: Cross multiply
    7,699.22x = 16,491.94 × 16,491.94
  4. Step 4: Simplify right side
    7,699.22x = 271,984,002.50
  5. Step 5: Solve for x
    x = 271,984,002.50/7,699.22
  6. Step 6: Final answer
    x = 35,326.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.