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Finding the Third Proportional to 9,705.25 and 20,896.25

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Solution

The third proportional to 9,705.25 and 20,896.25 is: 44,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.25 : 20,896.25 = 20,896.25 : x
  2. Step 2: Convert to fraction form
    9,705.25/20,896.25 = 20,896.25/x
  3. Step 3: Cross multiply
    9,705.25x = 20,896.25 × 20,896.25
  4. Step 4: Simplify right side
    9,705.25x = 436,653,264.06
  5. Step 5: Solve for x
    x = 436,653,264.06/9,705.25
  6. Step 6: Final answer
    x = 44,991.45

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Why These Related Problems?

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