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Finding the Third Proportional to 4,738 and 6,783

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Solution

The third proportional to 4,738 and 6,783 is: 9,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738 : 6,783 = 6,783 : x
  2. Step 2: Convert to fraction form
    4,738/6,783 = 6,783/x
  3. Step 3: Cross multiply
    4,738x = 6,783 × 6,783
  4. Step 4: Simplify right side
    4,738x = 46,009,089
  5. Step 5: Solve for x
    x = 46,009,089/4,738
  6. Step 6: Final answer
    x = 9,710.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.