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Finding the Third Proportional to 12,703.50 and 19,631.25

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Solution

The third proportional to 12,703.50 and 19,631.25 is: 30,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.50 : 19,631.25 = 19,631.25 : x
  2. Step 2: Convert to fraction form
    12,703.50/19,631.25 = 19,631.25/x
  3. Step 3: Cross multiply
    12,703.50x = 19,631.25 × 19,631.25
  4. Step 4: Simplify right side
    12,703.50x = 385,385,976.56
  5. Step 5: Solve for x
    x = 385,385,976.56/12,703.50
  6. Step 6: Final answer
    x = 30,336.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.