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Finding the Third Proportional to 2,582 and 2,768

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Solution

The third proportional to 2,582 and 2,768 is: 2,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 2,768 = 2,768 : x
  2. Step 2: Convert to fraction form
    2,582/2,768 = 2,768/x
  3. Step 3: Cross multiply
    2,582x = 2,768 × 2,768
  4. Step 4: Simplify right side
    2,582x = 7,661,824
  5. Step 5: Solve for x
    x = 7,661,824/2,582
  6. Step 6: Final answer
    x = 2,967.40

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.