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Finding the Third Proportional to 2,582 and 4,050

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Solution

The third proportional to 2,582 and 4,050 is: 6,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 4,050 = 4,050 : x
  2. Step 2: Convert to fraction form
    2,582/4,050 = 4,050/x
  3. Step 3: Cross multiply
    2,582x = 4,050 × 4,050
  4. Step 4: Simplify right side
    2,582x = 16,402,500
  5. Step 5: Solve for x
    x = 16,402,500/2,582
  6. Step 6: Final answer
    x = 6,352.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.