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Finding the Third Proportional to 2,190 and 2,410

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Solution

The third proportional to 2,190 and 2,410 is: 2,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 2,410 = 2,410 : x
  2. Step 2: Convert to fraction form
    2,190/2,410 = 2,410/x
  3. Step 3: Cross multiply
    2,190x = 2,410 × 2,410
  4. Step 4: Simplify right side
    2,190x = 5,808,100
  5. Step 5: Solve for x
    x = 5,808,100/2,190
  6. Step 6: Final answer
    x = 2,652.10

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.