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Finding the Third Proportional to 33,328.13 and 44,038.69

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Solution

The third proportional to 33,328.13 and 44,038.69 is: 58,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,328.13 : 44,038.69 = 44,038.69 : x
  2. Step 2: Convert to fraction form
    33,328.13/44,038.69 = 44,038.69/x
  3. Step 3: Cross multiply
    33,328.13x = 44,038.69 × 44,038.69
  4. Step 4: Simplify right side
    33,328.13x = 1,939,405,996.72
  5. Step 5: Solve for x
    x = 1,939,405,996.72/33,328.13
  6. Step 6: Final answer
    x = 58,191.27

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.