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Finding the Third Proportional to 9,605.81 and 14,269.50

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Solution

The third proportional to 9,605.81 and 14,269.50 is: 21,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.81 : 14,269.50 = 14,269.50 : x
  2. Step 2: Convert to fraction form
    9,605.81/14,269.50 = 14,269.50/x
  3. Step 3: Cross multiply
    9,605.81x = 14,269.50 × 14,269.50
  4. Step 4: Simplify right side
    9,605.81x = 203,618,630.25
  5. Step 5: Solve for x
    x = 203,618,630.25/9,605.81
  6. Step 6: Final answer
    x = 21,197.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.