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Finding the Third Proportional to 2,029 and 4,277.50

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Solution

The third proportional to 2,029 and 4,277.50 is: 9,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 4,277.50 = 4,277.50 : x
  2. Step 2: Convert to fraction form
    2,029/4,277.50 = 4,277.50/x
  3. Step 3: Cross multiply
    2,029x = 4,277.50 × 4,277.50
  4. Step 4: Simplify right side
    2,029x = 18,297,006.25
  5. Step 5: Solve for x
    x = 18,297,006.25/2,029
  6. Step 6: Final answer
    x = 9,017.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.