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Finding the Third Proportional to 35,809.88 and 78,039

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Solution

The third proportional to 35,809.88 and 78,039 is: 170,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.88 : 78,039 = 78,039 : x
  2. Step 2: Convert to fraction form
    35,809.88/78,039 = 78,039/x
  3. Step 3: Cross multiply
    35,809.88x = 78,039 × 78,039
  4. Step 4: Simplify right side
    35,809.88x = 6,090,085,521
  5. Step 5: Solve for x
    x = 6,090,085,521/35,809.88
  6. Step 6: Final answer
    x = 170,067.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.