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Finding the Third Proportional to 1,918.69 and 3,457.69

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Solution

The third proportional to 1,918.69 and 3,457.69 is: 6,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.69 : 3,457.69 = 3,457.69 : x
  2. Step 2: Convert to fraction form
    1,918.69/3,457.69 = 3,457.69/x
  3. Step 3: Cross multiply
    1,918.69x = 3,457.69 × 3,457.69
  4. Step 4: Simplify right side
    1,918.69x = 11,955,602.85
  5. Step 5: Solve for x
    x = 11,955,602.85/1,918.69
  6. Step 6: Final answer
    x = 6,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.