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Finding the Third Proportional to 1,693.27 and 3,636.28

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Solution

The third proportional to 1,693.27 and 3,636.28 is: 7,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.27 : 3,636.28 = 3,636.28 : x
  2. Step 2: Convert to fraction form
    1,693.27/3,636.28 = 3,636.28/x
  3. Step 3: Cross multiply
    1,693.27x = 3,636.28 × 3,636.28
  4. Step 4: Simplify right side
    1,693.27x = 13,222,541.33
  5. Step 5: Solve for x
    x = 13,222,541.33/1,693.27
  6. Step 6: Final answer
    x = 7,808.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.