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Finding the Third Proportional to 1,877 and 4,052

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Solution

The third proportional to 1,877 and 4,052 is: 8,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877 : 4,052 = 4,052 : x
  2. Step 2: Convert to fraction form
    1,877/4,052 = 4,052/x
  3. Step 3: Cross multiply
    1,877x = 4,052 × 4,052
  4. Step 4: Simplify right side
    1,877x = 16,418,704
  5. Step 5: Solve for x
    x = 16,418,704/1,877
  6. Step 6: Final answer
    x = 8,747.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.