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Finding the Third Proportional to 4,509 and 10,783

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Solution

The third proportional to 4,509 and 10,783 is: 25,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509 : 10,783 = 10,783 : x
  2. Step 2: Convert to fraction form
    4,509/10,783 = 10,783/x
  3. Step 3: Cross multiply
    4,509x = 10,783 × 10,783
  4. Step 4: Simplify right side
    4,509x = 116,273,089
  5. Step 5: Solve for x
    x = 116,273,089/4,509
  6. Step 6: Final answer
    x = 25,786.89

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.