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Finding the Third Proportional to 2,306 and 2,522

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Solution

The third proportional to 2,306 and 2,522 is: 2,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 2,522 = 2,522 : x
  2. Step 2: Convert to fraction form
    2,306/2,522 = 2,522/x
  3. Step 3: Cross multiply
    2,306x = 2,522 × 2,522
  4. Step 4: Simplify right side
    2,306x = 6,360,484
  5. Step 5: Solve for x
    x = 6,360,484/2,306
  6. Step 6: Final answer
    x = 2,758.23

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.