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Finding the Third Proportional to 2,017 and 4,670.50

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Solution

The third proportional to 2,017 and 4,670.50 is: 10,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017 : 4,670.50 = 4,670.50 : x
  2. Step 2: Convert to fraction form
    2,017/4,670.50 = 4,670.50/x
  3. Step 3: Cross multiply
    2,017x = 4,670.50 × 4,670.50
  4. Step 4: Simplify right side
    2,017x = 21,813,570.25
  5. Step 5: Solve for x
    x = 21,813,570.25/2,017
  6. Step 6: Final answer
    x = 10,814.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.