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Finding the Third Proportional to 1,574 and 4,025

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Solution

The third proportional to 1,574 and 4,025 is: 10,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574 : 4,025 = 4,025 : x
  2. Step 2: Convert to fraction form
    1,574/4,025 = 4,025/x
  3. Step 3: Cross multiply
    1,574x = 4,025 × 4,025
  4. Step 4: Simplify right side
    1,574x = 16,200,625
  5. Step 5: Solve for x
    x = 16,200,625/1,574
  6. Step 6: Final answer
    x = 10,292.65

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.