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Finding the Third Proportional to 12,153.80 and 16,334.16

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Solution

The third proportional to 12,153.80 and 16,334.16 is: 21,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.80 : 16,334.16 = 16,334.16 : x
  2. Step 2: Convert to fraction form
    12,153.80/16,334.16 = 16,334.16/x
  3. Step 3: Cross multiply
    12,153.80x = 16,334.16 × 16,334.16
  4. Step 4: Simplify right side
    12,153.80x = 266,804,660.40
  5. Step 5: Solve for x
    x = 266,804,660.40/12,153.80
  6. Step 6: Final answer
    x = 21,952.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.