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Finding the Third Proportional to 2,017 and 4,750

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Solution

The third proportional to 2,017 and 4,750 is: 11,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017 : 4,750 = 4,750 : x
  2. Step 2: Convert to fraction form
    2,017/4,750 = 4,750/x
  3. Step 3: Cross multiply
    2,017x = 4,750 × 4,750
  4. Step 4: Simplify right side
    2,017x = 22,562,500
  5. Step 5: Solve for x
    x = 22,562,500/2,017
  6. Step 6: Final answer
    x = 11,186.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.