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Finding the Third Proportional to 30,321.84 and 64,801.27

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Solution

The third proportional to 30,321.84 and 64,801.27 is: 138,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.84 : 64,801.27 = 64,801.27 : x
  2. Step 2: Convert to fraction form
    30,321.84/64,801.27 = 64,801.27/x
  3. Step 3: Cross multiply
    30,321.84x = 64,801.27 × 64,801.27
  4. Step 4: Simplify right side
    30,321.84x = 4,199,204,026.60
  5. Step 5: Solve for x
    x = 4,199,204,026.60/30,321.84
  6. Step 6: Final answer
    x = 138,487.75

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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.