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Finding the Third Proportional to 32,057.44 and 70,014.38

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Solution

The third proportional to 32,057.44 and 70,014.38 is: 152,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.44 : 70,014.38 = 70,014.38 : x
  2. Step 2: Convert to fraction form
    32,057.44/70,014.38 = 70,014.38/x
  3. Step 3: Cross multiply
    32,057.44x = 70,014.38 × 70,014.38
  4. Step 4: Simplify right side
    32,057.44x = 4,902,012,706.64
  5. Step 5: Solve for x
    x = 4,902,012,706.64/32,057.44
  6. Step 6: Final answer
    x = 152,913.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.