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Finding the Third Proportional to 2,378 and 2,582

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Solution

The third proportional to 2,378 and 2,582 is: 2,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 2,582 = 2,582 : x
  2. Step 2: Convert to fraction form
    2,378/2,582 = 2,582/x
  3. Step 3: Cross multiply
    2,378x = 2,582 × 2,582
  4. Step 4: Simplify right side
    2,378x = 6,666,724
  5. Step 5: Solve for x
    x = 6,666,724/2,378
  6. Step 6: Final answer
    x = 2,803.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.