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Finding the Third Proportional to 18,954 and 30,172.50

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Solution

The third proportional to 18,954 and 30,172.50 is: 48,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,954 : 30,172.50 = 30,172.50 : x
  2. Step 2: Convert to fraction form
    18,954/30,172.50 = 30,172.50/x
  3. Step 3: Cross multiply
    18,954x = 30,172.50 × 30,172.50
  4. Step 4: Simplify right side
    18,954x = 910,379,756.25
  5. Step 5: Solve for x
    x = 910,379,756.25/18,954
  6. Step 6: Final answer
    x = 48,031.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.