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Finding the Third Proportional to 29,396.25 and 64,645.03

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Solution

The third proportional to 29,396.25 and 64,645.03 is: 142,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,396.25 : 64,645.03 = 64,645.03 : x
  2. Step 2: Convert to fraction form
    29,396.25/64,645.03 = 64,645.03/x
  3. Step 3: Cross multiply
    29,396.25x = 64,645.03 × 64,645.03
  4. Step 4: Simplify right side
    29,396.25x = 4,178,980,065.31
  5. Step 5: Solve for x
    x = 4,178,980,065.31/29,396.25
  6. Step 6: Final answer
    x = 142,160.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.