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Finding the Third Proportional to 18,897.75 and 49,189.50

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Solution

The third proportional to 18,897.75 and 49,189.50 is: 128,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897.75 : 49,189.50 = 49,189.50 : x
  2. Step 2: Convert to fraction form
    18,897.75/49,189.50 = 49,189.50/x
  3. Step 3: Cross multiply
    18,897.75x = 49,189.50 × 49,189.50
  4. Step 4: Simplify right side
    18,897.75x = 2,419,606,910.25
  5. Step 5: Solve for x
    x = 2,419,606,910.25/18,897.75
  6. Step 6: Final answer
    x = 128,036.77

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.