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Finding the Third Proportional to 23,853.75 and 35,051.25

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Solution

The third proportional to 23,853.75 and 35,051.25 is: 51,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.75 : 35,051.25 = 35,051.25 : x
  2. Step 2: Convert to fraction form
    23,853.75/35,051.25 = 35,051.25/x
  3. Step 3: Cross multiply
    23,853.75x = 35,051.25 × 35,051.25
  4. Step 4: Simplify right side
    23,853.75x = 1,228,590,126.56
  5. Step 5: Solve for x
    x = 1,228,590,126.56/23,853.75
  6. Step 6: Final answer
    x = 51,505.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.