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Finding the Third Proportional to 13,604 and 20,808.50

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Solution

The third proportional to 13,604 and 20,808.50 is: 31,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604 : 20,808.50 = 20,808.50 : x
  2. Step 2: Convert to fraction form
    13,604/20,808.50 = 20,808.50/x
  3. Step 3: Cross multiply
    13,604x = 20,808.50 × 20,808.50
  4. Step 4: Simplify right side
    13,604x = 432,993,672.25
  5. Step 5: Solve for x
    x = 432,993,672.25/13,604
  6. Step 6: Final answer
    x = 31,828.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.