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Finding the Third Proportional to 30,641.25 and 42,195

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Solution

The third proportional to 30,641.25 and 42,195 is: 58,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.25 : 42,195 = 42,195 : x
  2. Step 2: Convert to fraction form
    30,641.25/42,195 = 42,195/x
  3. Step 3: Cross multiply
    30,641.25x = 42,195 × 42,195
  4. Step 4: Simplify right side
    30,641.25x = 1,780,418,025
  5. Step 5: Solve for x
    x = 1,780,418,025/30,641.25
  6. Step 6: Final answer
    x = 58,105.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.