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Finding the Third Proportional to 1,356.75 and 1,485.84

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Solution

The third proportional to 1,356.75 and 1,485.84 is: 1,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.75 : 1,485.84 = 1,485.84 : x
  2. Step 2: Convert to fraction form
    1,356.75/1,485.84 = 1,485.84/x
  3. Step 3: Cross multiply
    1,356.75x = 1,485.84 × 1,485.84
  4. Step 4: Simplify right side
    1,356.75x = 2,207,731.65
  5. Step 5: Solve for x
    x = 2,207,731.65/1,356.75
  6. Step 6: Final answer
    x = 1,627.22

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.