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Finding the Third Proportional to 1,693.41 and 4,102.31

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Solution

The third proportional to 1,693.41 and 4,102.31 is: 9,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.41 : 4,102.31 = 4,102.31 : x
  2. Step 2: Convert to fraction form
    1,693.41/4,102.31 = 4,102.31/x
  3. Step 3: Cross multiply
    1,693.41x = 4,102.31 × 4,102.31
  4. Step 4: Simplify right side
    1,693.41x = 16,828,967.85
  5. Step 5: Solve for x
    x = 16,828,967.85/1,693.41
  6. Step 6: Final answer
    x = 9,937.94

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.