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Finding the Third Proportional to 5,185 and 10,739

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Solution

The third proportional to 5,185 and 10,739 is: 22,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 10,739 = 10,739 : x
  2. Step 2: Convert to fraction form
    5,185/10,739 = 10,739/x
  3. Step 3: Cross multiply
    5,185x = 10,739 × 10,739
  4. Step 4: Simplify right side
    5,185x = 115,326,121
  5. Step 5: Solve for x
    x = 115,326,121/5,185
  6. Step 6: Final answer
    x = 22,242.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.