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Finding the Third Proportional to 918.09 and 1,930.69

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Solution

The third proportional to 918.09 and 1,930.69 is: 4,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.09 : 1,930.69 = 1,930.69 : x
  2. Step 2: Convert to fraction form
    918.09/1,930.69 = 1,930.69/x
  3. Step 3: Cross multiply
    918.09x = 1,930.69 × 1,930.69
  4. Step 4: Simplify right side
    918.09x = 3,727,554.22
  5. Step 5: Solve for x
    x = 3,727,554.22/918.09
  6. Step 6: Final answer
    x = 4,060.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.