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Finding the Third Proportional to 12,347.44 and 16,405.03

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Solution

The third proportional to 12,347.44 and 16,405.03 is: 21,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.44 : 16,405.03 = 16,405.03 : x
  2. Step 2: Convert to fraction form
    12,347.44/16,405.03 = 16,405.03/x
  3. Step 3: Cross multiply
    12,347.44x = 16,405.03 × 16,405.03
  4. Step 4: Simplify right side
    12,347.44x = 269,125,050.31
  5. Step 5: Solve for x
    x = 269,125,050.31/12,347.44
  6. Step 6: Final answer
    x = 21,796.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.