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Finding the Third Proportional to 32,299 and 70,964

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Solution

The third proportional to 32,299 and 70,964 is: 155,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,299 : 70,964 = 70,964 : x
  2. Step 2: Convert to fraction form
    32,299/70,964 = 70,964/x
  3. Step 3: Cross multiply
    32,299x = 70,964 × 70,964
  4. Step 4: Simplify right side
    32,299x = 5,035,889,296
  5. Step 5: Solve for x
    x = 5,035,889,296/32,299
  6. Step 6: Final answer
    x = 155,914.71

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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.