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Finding the Third Proportional to 19,696.50 and 29,235.50

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Solution

The third proportional to 19,696.50 and 29,235.50 is: 43,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.50 : 29,235.50 = 29,235.50 : x
  2. Step 2: Convert to fraction form
    19,696.50/29,235.50 = 29,235.50/x
  3. Step 3: Cross multiply
    19,696.50x = 29,235.50 × 29,235.50
  4. Step 4: Simplify right side
    19,696.50x = 854,714,460.25
  5. Step 5: Solve for x
    x = 854,714,460.25/19,696.50
  6. Step 6: Final answer
    x = 43,394.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.