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Finding the Third Proportional to 2,582 and 4,120

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Solution

The third proportional to 2,582 and 4,120 is: 6,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 4,120 = 4,120 : x
  2. Step 2: Convert to fraction form
    2,582/4,120 = 4,120/x
  3. Step 3: Cross multiply
    2,582x = 4,120 × 4,120
  4. Step 4: Simplify right side
    2,582x = 16,974,400
  5. Step 5: Solve for x
    x = 16,974,400/2,582
  6. Step 6: Final answer
    x = 6,574.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.