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Finding the Third Proportional to 19,197 and 39,172.50

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Solution

The third proportional to 19,197 and 39,172.50 is: 79,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 39,172.50 = 39,172.50 : x
  2. Step 2: Convert to fraction form
    19,197/39,172.50 = 39,172.50/x
  3. Step 3: Cross multiply
    19,197x = 39,172.50 × 39,172.50
  4. Step 4: Simplify right side
    19,197x = 1,534,484,756.25
  5. Step 5: Solve for x
    x = 1,534,484,756.25/19,197
  6. Step 6: Final answer
    x = 79,933.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.