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Finding the Third Proportional to 6,116 and 6,788

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Solution

The third proportional to 6,116 and 6,788 is: 7,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116 : 6,788 = 6,788 : x
  2. Step 2: Convert to fraction form
    6,116/6,788 = 6,788/x
  3. Step 3: Cross multiply
    6,116x = 6,788 × 6,788
  4. Step 4: Simplify right side
    6,116x = 46,076,944
  5. Step 5: Solve for x
    x = 46,076,944/6,116
  6. Step 6: Final answer
    x = 7,533.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.