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Finding the Third Proportional to 32,239.69 and 68,631.19

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Solution

The third proportional to 32,239.69 and 68,631.19 is: 146,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,239.69 : 68,631.19 = 68,631.19 : x
  2. Step 2: Convert to fraction form
    32,239.69/68,631.19 = 68,631.19/x
  3. Step 3: Cross multiply
    32,239.69x = 68,631.19 × 68,631.19
  4. Step 4: Simplify right side
    32,239.69x = 4,710,239,897.66
  5. Step 5: Solve for x
    x = 4,710,239,897.66/32,239.69
  6. Step 6: Final answer
    x = 146,100.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.