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Finding the Third Proportional to 8,409.66 and 13,193.93

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Solution

The third proportional to 8,409.66 and 13,193.93 is: 20,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.66 : 13,193.93 = 13,193.93 : x
  2. Step 2: Convert to fraction form
    8,409.66/13,193.93 = 13,193.93/x
  3. Step 3: Cross multiply
    8,409.66x = 13,193.93 × 13,193.93
  4. Step 4: Simplify right side
    8,409.66x = 174,079,780.60
  5. Step 5: Solve for x
    x = 174,079,780.60/8,409.66
  6. Step 6: Final answer
    x = 20,699.99

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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.