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Finding the Third Proportional to 4,783 and 7,017

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Solution

The third proportional to 4,783 and 7,017 is: 10,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783 : 7,017 = 7,017 : x
  2. Step 2: Convert to fraction form
    4,783/7,017 = 7,017/x
  3. Step 3: Cross multiply
    4,783x = 7,017 × 7,017
  4. Step 4: Simplify right side
    4,783x = 49,238,289
  5. Step 5: Solve for x
    x = 49,238,289/4,783
  6. Step 6: Final answer
    x = 10,294.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.