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Finding the Third Proportional to 2,577.25 and 4,000.75

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Solution

The third proportional to 2,577.25 and 4,000.75 is: 6,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.25 : 4,000.75 = 4,000.75 : x
  2. Step 2: Convert to fraction form
    2,577.25/4,000.75 = 4,000.75/x
  3. Step 3: Cross multiply
    2,577.25x = 4,000.75 × 4,000.75
  4. Step 4: Simplify right side
    2,577.25x = 16,006,000.56
  5. Step 5: Solve for x
    x = 16,006,000.56/2,577.25
  6. Step 6: Final answer
    x = 6,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.