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Finding the Third Proportional to 2,029 and 2,383

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Solution

The third proportional to 2,029 and 2,383 is: 2,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 2,383 = 2,383 : x
  2. Step 2: Convert to fraction form
    2,029/2,383 = 2,383/x
  3. Step 3: Cross multiply
    2,029x = 2,383 × 2,383
  4. Step 4: Simplify right side
    2,029x = 5,678,689
  5. Step 5: Solve for x
    x = 5,678,689/2,029
  6. Step 6: Final answer
    x = 2,798.76

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.