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Finding the Third Proportional to 1,918.69 and 3,237.05

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Solution

The third proportional to 1,918.69 and 3,237.05 is: 5,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.69 : 3,237.05 = 3,237.05 : x
  2. Step 2: Convert to fraction form
    1,918.69/3,237.05 = 3,237.05/x
  3. Step 3: Cross multiply
    1,918.69x = 3,237.05 × 3,237.05
  4. Step 4: Simplify right side
    1,918.69x = 10,478,472.47
  5. Step 5: Solve for x
    x = 10,478,472.47/1,918.69
  6. Step 6: Final answer
    x = 5,461.27

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.