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Finding the Third Proportional to 883.13 and 1,918.63

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Solution

The third proportional to 883.13 and 1,918.63 is: 4,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.13 : 1,918.63 = 1,918.63 : x
  2. Step 2: Convert to fraction form
    883.13/1,918.63 = 1,918.63/x
  3. Step 3: Cross multiply
    883.13x = 1,918.63 × 1,918.63
  4. Step 4: Simplify right side
    883.13x = 3,681,121.89
  5. Step 5: Solve for x
    x = 3,681,121.89/883.13
  6. Step 6: Final answer
    x = 4,168.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.