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Finding the Third Proportional to 39,052 and 55,638

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Solution

The third proportional to 39,052 and 55,638 is: 79,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,052 : 55,638 = 55,638 : x
  2. Step 2: Convert to fraction form
    39,052/55,638 = 55,638/x
  3. Step 3: Cross multiply
    39,052x = 55,638 × 55,638
  4. Step 4: Simplify right side
    39,052x = 3,095,587,044
  5. Step 5: Solve for x
    x = 3,095,587,044/39,052
  6. Step 6: Final answer
    x = 79,268.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.