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Finding the Third Proportional to 18,488.25 and 42,603.75

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Solution

The third proportional to 18,488.25 and 42,603.75 is: 98,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,488.25 : 42,603.75 = 42,603.75 : x
  2. Step 2: Convert to fraction form
    18,488.25/42,603.75 = 42,603.75/x
  3. Step 3: Cross multiply
    18,488.25x = 42,603.75 × 42,603.75
  4. Step 4: Simplify right side
    18,488.25x = 1,815,079,514.06
  5. Step 5: Solve for x
    x = 1,815,079,514.06/18,488.25
  6. Step 6: Final answer
    x = 98,174.76

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.