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Finding the Third Proportional to 32,639.75 and 44,039

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Solution

The third proportional to 32,639.75 and 44,039 is: 59,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,639.75 : 44,039 = 44,039 : x
  2. Step 2: Convert to fraction form
    32,639.75/44,039 = 44,039/x
  3. Step 3: Cross multiply
    32,639.75x = 44,039 × 44,039
  4. Step 4: Simplify right side
    32,639.75x = 1,939,433,521
  5. Step 5: Solve for x
    x = 1,939,433,521/32,639.75
  6. Step 6: Final answer
    x = 59,419.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.