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Finding the Third Proportional to 30,210.75 and 64,793.25

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Solution

The third proportional to 30,210.75 and 64,793.25 is: 138,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.75 : 64,793.25 = 64,793.25 : x
  2. Step 2: Convert to fraction form
    30,210.75/64,793.25 = 64,793.25/x
  3. Step 3: Cross multiply
    30,210.75x = 64,793.25 × 64,793.25
  4. Step 4: Simplify right side
    30,210.75x = 4,198,165,245.56
  5. Step 5: Solve for x
    x = 4,198,165,245.56/30,210.75
  6. Step 6: Final answer
    x = 138,962.63

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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.