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Finding the Third Proportional to 16,305.75 and 34,980.75

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Solution

The third proportional to 16,305.75 and 34,980.75 is: 75,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.75 : 34,980.75 = 34,980.75 : x
  2. Step 2: Convert to fraction form
    16,305.75/34,980.75 = 34,980.75/x
  3. Step 3: Cross multiply
    16,305.75x = 34,980.75 × 34,980.75
  4. Step 4: Simplify right side
    16,305.75x = 1,223,652,870.56
  5. Step 5: Solve for x
    x = 1,223,652,870.56/16,305.75
  6. Step 6: Final answer
    x = 75,044.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.