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Finding the Third Proportional to 2,270 and 2,588

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Solution

The third proportional to 2,270 and 2,588 is: 2,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 2,588 = 2,588 : x
  2. Step 2: Convert to fraction form
    2,270/2,588 = 2,588/x
  3. Step 3: Cross multiply
    2,270x = 2,588 × 2,588
  4. Step 4: Simplify right side
    2,270x = 6,697,744
  5. Step 5: Solve for x
    x = 6,697,744/2,270
  6. Step 6: Final answer
    x = 2,950.55

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.