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Finding the Third Proportional to 19,790.50 and 42,176

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Solution

The third proportional to 19,790.50 and 42,176 is: 89,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,790.50 : 42,176 = 42,176 : x
  2. Step 2: Convert to fraction form
    19,790.50/42,176 = 42,176/x
  3. Step 3: Cross multiply
    19,790.50x = 42,176 × 42,176
  4. Step 4: Simplify right side
    19,790.50x = 1,778,814,976
  5. Step 5: Solve for x
    x = 1,778,814,976/19,790.50
  6. Step 6: Final answer
    x = 89,882.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.