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Finding the Third Proportional to 15,606 and 16,825.50

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Solution

The third proportional to 15,606 and 16,825.50 is: 18,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606 : 16,825.50 = 16,825.50 : x
  2. Step 2: Convert to fraction form
    15,606/16,825.50 = 16,825.50/x
  3. Step 3: Cross multiply
    15,606x = 16,825.50 × 16,825.50
  4. Step 4: Simplify right side
    15,606x = 283,097,450.25
  5. Step 5: Solve for x
    x = 283,097,450.25/15,606
  6. Step 6: Final answer
    x = 18,140.30

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.