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Finding the Third Proportional to 30,219.75 and 64,811.25

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Solution

The third proportional to 30,219.75 and 64,811.25 is: 138,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.75 : 64,811.25 = 64,811.25 : x
  2. Step 2: Convert to fraction form
    30,219.75/64,811.25 = 64,811.25/x
  3. Step 3: Cross multiply
    30,219.75x = 64,811.25 × 64,811.25
  4. Step 4: Simplify right side
    30,219.75x = 4,200,498,126.56
  5. Step 5: Solve for x
    x = 4,200,498,126.56/30,219.75
  6. Step 6: Final answer
    x = 138,998.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.