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Finding the Third Proportional to 12,981 and 19,747.50

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Solution

The third proportional to 12,981 and 19,747.50 is: 30,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981 : 19,747.50 = 19,747.50 : x
  2. Step 2: Convert to fraction form
    12,981/19,747.50 = 19,747.50/x
  3. Step 3: Cross multiply
    12,981x = 19,747.50 × 19,747.50
  4. Step 4: Simplify right side
    12,981x = 389,963,756.25
  5. Step 5: Solve for x
    x = 389,963,756.25/12,981
  6. Step 6: Final answer
    x = 30,041.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.