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Finding the Third Proportional to 4,306 and 5,783

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Solution

The third proportional to 4,306 and 5,783 is: 7,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 5,783 = 5,783 : x
  2. Step 2: Convert to fraction form
    4,306/5,783 = 5,783/x
  3. Step 3: Cross multiply
    4,306x = 5,783 × 5,783
  4. Step 4: Simplify right side
    4,306x = 33,443,089
  5. Step 5: Solve for x
    x = 33,443,089/4,306
  6. Step 6: Final answer
    x = 7,766.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.