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Finding the Third Proportional to 30,374.50 and 42,755

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Solution

The third proportional to 30,374.50 and 42,755 is: 60,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.50 : 42,755 = 42,755 : x
  2. Step 2: Convert to fraction form
    30,374.50/42,755 = 42,755/x
  3. Step 3: Cross multiply
    30,374.50x = 42,755 × 42,755
  4. Step 4: Simplify right side
    30,374.50x = 1,827,990,025
  5. Step 5: Solve for x
    x = 1,827,990,025/30,374.50
  6. Step 6: Final answer
    x = 60,181.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.