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Finding the Third Proportional to 18,057 and 27,904.50

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Solution

The third proportional to 18,057 and 27,904.50 is: 43,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057 : 27,904.50 = 27,904.50 : x
  2. Step 2: Convert to fraction form
    18,057/27,904.50 = 27,904.50/x
  3. Step 3: Cross multiply
    18,057x = 27,904.50 × 27,904.50
  4. Step 4: Simplify right side
    18,057x = 778,661,120.25
  5. Step 5: Solve for x
    x = 778,661,120.25/18,057
  6. Step 6: Final answer
    x = 43,122.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.