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Finding the Third Proportional to 883.69 and 1,907.44

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Solution

The third proportional to 883.69 and 1,907.44 is: 4,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.69 : 1,907.44 = 1,907.44 : x
  2. Step 2: Convert to fraction form
    883.69/1,907.44 = 1,907.44/x
  3. Step 3: Cross multiply
    883.69x = 1,907.44 × 1,907.44
  4. Step 4: Simplify right side
    883.69x = 3,638,317.82
  5. Step 5: Solve for x
    x = 3,638,317.82/883.69
  6. Step 6: Final answer
    x = 4,117.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.