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Finding the Third Proportional to 13,608 and 14,809.50

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Solution

The third proportional to 13,608 and 14,809.50 is: 16,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608 : 14,809.50 = 14,809.50 : x
  2. Step 2: Convert to fraction form
    13,608/14,809.50 = 14,809.50/x
  3. Step 3: Cross multiply
    13,608x = 14,809.50 × 14,809.50
  4. Step 4: Simplify right side
    13,608x = 219,321,290.25
  5. Step 5: Solve for x
    x = 219,321,290.25/13,608
  6. Step 6: Final answer
    x = 16,117.08

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.