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Finding the Third Proportional to 2,308 and 4,022

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Solution

The third proportional to 2,308 and 4,022 is: 7,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308 : 4,022 = 4,022 : x
  2. Step 2: Convert to fraction form
    2,308/4,022 = 4,022/x
  3. Step 3: Cross multiply
    2,308x = 4,022 × 4,022
  4. Step 4: Simplify right side
    2,308x = 16,176,484
  5. Step 5: Solve for x
    x = 16,176,484/2,308
  6. Step 6: Final answer
    x = 7,008.88

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.