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Finding the Third Proportional to 918.37 and 2,007.60

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Solution

The third proportional to 918.37 and 2,007.60 is: 4,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.37 : 2,007.60 = 2,007.60 : x
  2. Step 2: Convert to fraction form
    918.37/2,007.60 = 2,007.60/x
  3. Step 3: Cross multiply
    918.37x = 2,007.60 × 2,007.60
  4. Step 4: Simplify right side
    918.37x = 4,030,448.35
  5. Step 5: Solve for x
    x = 4,030,448.35/918.37
  6. Step 6: Final answer
    x = 4,388.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.