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Finding the Third Proportional to 32,349.38 and 62,967.38

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Solution

The third proportional to 32,349.38 and 62,967.38 is: 122,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349.38 : 62,967.38 = 62,967.38 : x
  2. Step 2: Convert to fraction form
    32,349.38/62,967.38 = 62,967.38/x
  3. Step 3: Cross multiply
    32,349.38x = 62,967.38 × 62,967.38
  4. Step 4: Simplify right side
    32,349.38x = 3,964,890,314.39
  5. Step 5: Solve for x
    x = 3,964,890,314.39/32,349.38
  6. Step 6: Final answer
    x = 122,564.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.