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Finding the Third Proportional to 12,492 and 19,120.50

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Solution

The third proportional to 12,492 and 19,120.50 is: 29,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492 : 19,120.50 = 19,120.50 : x
  2. Step 2: Convert to fraction form
    12,492/19,120.50 = 19,120.50/x
  3. Step 3: Cross multiply
    12,492x = 19,120.50 × 19,120.50
  4. Step 4: Simplify right side
    12,492x = 365,593,520.25
  5. Step 5: Solve for x
    x = 365,593,520.25/12,492
  6. Step 6: Final answer
    x = 29,266.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.