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Finding the Third Proportional to 29,804.25 and 41,772.75

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Solution

The third proportional to 29,804.25 and 41,772.75 is: 58,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.25 : 41,772.75 = 41,772.75 : x
  2. Step 2: Convert to fraction form
    29,804.25/41,772.75 = 41,772.75/x
  3. Step 3: Cross multiply
    29,804.25x = 41,772.75 × 41,772.75
  4. Step 4: Simplify right side
    29,804.25x = 1,744,962,642.56
  5. Step 5: Solve for x
    x = 1,744,962,642.56/29,804.25
  6. Step 6: Final answer
    x = 58,547.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.