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Finding the Third Proportional to 2,030 and 2,852

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Solution

The third proportional to 2,030 and 2,852 is: 4,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030 : 2,852 = 2,852 : x
  2. Step 2: Convert to fraction form
    2,030/2,852 = 2,852/x
  3. Step 3: Cross multiply
    2,030x = 2,852 × 2,852
  4. Step 4: Simplify right side
    2,030x = 8,133,904
  5. Step 5: Solve for x
    x = 8,133,904/2,030
  6. Step 6: Final answer
    x = 4,006.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.