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Finding the Third Proportional to 30,919.50 and 60,781.50

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Solution

The third proportional to 30,919.50 and 60,781.50 is: 119,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.50 : 60,781.50 = 60,781.50 : x
  2. Step 2: Convert to fraction form
    30,919.50/60,781.50 = 60,781.50/x
  3. Step 3: Cross multiply
    30,919.50x = 60,781.50 × 60,781.50
  4. Step 4: Simplify right side
    30,919.50x = 3,694,390,742.25
  5. Step 5: Solve for x
    x = 3,694,390,742.25/30,919.50
  6. Step 6: Final answer
    x = 119,484.17

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.