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Finding the Third Proportional to 2,574 and 2,862

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Solution

The third proportional to 2,574 and 2,862 is: 3,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 2,862 = 2,862 : x
  2. Step 2: Convert to fraction form
    2,574/2,862 = 2,862/x
  3. Step 3: Cross multiply
    2,574x = 2,862 × 2,862
  4. Step 4: Simplify right side
    2,574x = 8,191,044
  5. Step 5: Solve for x
    x = 8,191,044/2,574
  6. Step 6: Final answer
    x = 3,182.22

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.