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Finding the Third Proportional to 18,133.50 and 38,444

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Solution

The third proportional to 18,133.50 and 38,444 is: 81,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.50 : 38,444 = 38,444 : x
  2. Step 2: Convert to fraction form
    18,133.50/38,444 = 38,444/x
  3. Step 3: Cross multiply
    18,133.50x = 38,444 × 38,444
  4. Step 4: Simplify right side
    18,133.50x = 1,477,941,136
  5. Step 5: Solve for x
    x = 1,477,941,136/18,133.50
  6. Step 6: Final answer
    x = 81,503.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.