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Finding the Third Proportional to 9,968 and 14,519.50

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Solution

The third proportional to 9,968 and 14,519.50 is: 21,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968 : 14,519.50 = 14,519.50 : x
  2. Step 2: Convert to fraction form
    9,968/14,519.50 = 14,519.50/x
  3. Step 3: Cross multiply
    9,968x = 14,519.50 × 14,519.50
  4. Step 4: Simplify right side
    9,968x = 210,815,880.25
  5. Step 5: Solve for x
    x = 210,815,880.25/9,968
  6. Step 6: Final answer
    x = 21,149.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.