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Finding the Third Proportional to 2,582 and 3,764

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Solution

The third proportional to 2,582 and 3,764 is: 5,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 3,764 = 3,764 : x
  2. Step 2: Convert to fraction form
    2,582/3,764 = 3,764/x
  3. Step 3: Cross multiply
    2,582x = 3,764 × 3,764
  4. Step 4: Simplify right side
    2,582x = 14,167,696
  5. Step 5: Solve for x
    x = 14,167,696/2,582
  6. Step 6: Final answer
    x = 5,487.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.