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Finding the Third Proportional to 4,896 and 8,052

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Solution

The third proportional to 4,896 and 8,052 is: 13,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 8,052 = 8,052 : x
  2. Step 2: Convert to fraction form
    4,896/8,052 = 8,052/x
  3. Step 3: Cross multiply
    4,896x = 8,052 × 8,052
  4. Step 4: Simplify right side
    4,896x = 64,834,704
  5. Step 5: Solve for x
    x = 64,834,704/4,896
  6. Step 6: Final answer
    x = 13,242.38

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.