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Finding the Third Proportional to 31,181.25 and 66,792.75

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Solution

The third proportional to 31,181.25 and 66,792.75 is: 143,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.25 : 66,792.75 = 66,792.75 : x
  2. Step 2: Convert to fraction form
    31,181.25/66,792.75 = 66,792.75/x
  3. Step 3: Cross multiply
    31,181.25x = 66,792.75 × 66,792.75
  4. Step 4: Simplify right side
    31,181.25x = 4,461,271,452.56
  5. Step 5: Solve for x
    x = 4,461,271,452.56/31,181.25
  6. Step 6: Final answer
    x = 143,075.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.