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Finding the Third Proportional to 1,880 and 2,590

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Solution

The third proportional to 1,880 and 2,590 is: 3,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880 : 2,590 = 2,590 : x
  2. Step 2: Convert to fraction form
    1,880/2,590 = 2,590/x
  3. Step 3: Cross multiply
    1,880x = 2,590 × 2,590
  4. Step 4: Simplify right side
    1,880x = 6,708,100
  5. Step 5: Solve for x
    x = 6,708,100/1,880
  6. Step 6: Final answer
    x = 3,568.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.