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Finding the Third Proportional to 50,411 and 74,463.50

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Solution

The third proportional to 50,411 and 74,463.50 is: 109,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,411 : 74,463.50 = 74,463.50 : x
  2. Step 2: Convert to fraction form
    50,411/74,463.50 = 74,463.50/x
  3. Step 3: Cross multiply
    50,411x = 74,463.50 × 74,463.50
  4. Step 4: Simplify right side
    50,411x = 5,544,812,832.25
  5. Step 5: Solve for x
    x = 5,544,812,832.25/50,411
  6. Step 6: Final answer
    x = 109,992.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.