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Finding the Third Proportional to 12,728.50 and 19,116.75

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Solution

The third proportional to 12,728.50 and 19,116.75 is: 28,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.50 : 19,116.75 = 19,116.75 : x
  2. Step 2: Convert to fraction form
    12,728.50/19,116.75 = 19,116.75/x
  3. Step 3: Cross multiply
    12,728.50x = 19,116.75 × 19,116.75
  4. Step 4: Simplify right side
    12,728.50x = 365,450,130.56
  5. Step 5: Solve for x
    x = 365,450,130.56/12,728.50
  6. Step 6: Final answer
    x = 28,711.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.