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Finding the Third Proportional to 2,010.75 and 2,830.88

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Solution

The third proportional to 2,010.75 and 2,830.88 is: 3,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.75 : 2,830.88 = 2,830.88 : x
  2. Step 2: Convert to fraction form
    2,010.75/2,830.88 = 2,830.88/x
  3. Step 3: Cross multiply
    2,010.75x = 2,830.88 × 2,830.88
  4. Step 4: Simplify right side
    2,010.75x = 8,013,853.27
  5. Step 5: Solve for x
    x = 8,013,853.27/2,010.75
  6. Step 6: Final answer
    x = 3,985.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.