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Finding the Third Proportional to 30,319.50 and 63,781.50

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Solution

The third proportional to 30,319.50 and 63,781.50 is: 134,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.50 : 63,781.50 = 63,781.50 : x
  2. Step 2: Convert to fraction form
    30,319.50/63,781.50 = 63,781.50/x
  3. Step 3: Cross multiply
    30,319.50x = 63,781.50 × 63,781.50
  4. Step 4: Simplify right side
    30,319.50x = 4,068,079,742.25
  5. Step 5: Solve for x
    x = 4,068,079,742.25/30,319.50
  6. Step 6: Final answer
    x = 134,173.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.