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Finding the Third Proportional to 2,052 and 4,754

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Solution

The third proportional to 2,052 and 4,754 is: 11,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 4,754 = 4,754 : x
  2. Step 2: Convert to fraction form
    2,052/4,754 = 4,754/x
  3. Step 3: Cross multiply
    2,052x = 4,754 × 4,754
  4. Step 4: Simplify right side
    2,052x = 22,600,516
  5. Step 5: Solve for x
    x = 22,600,516/2,052
  6. Step 6: Final answer
    x = 11,013.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.