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Finding the Third Proportional to 3,051 and 7,803

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Solution

The third proportional to 3,051 and 7,803 is: 19,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051 : 7,803 = 7,803 : x
  2. Step 2: Convert to fraction form
    3,051/7,803 = 7,803/x
  3. Step 3: Cross multiply
    3,051x = 7,803 × 7,803
  4. Step 4: Simplify right side
    3,051x = 60,886,809
  5. Step 5: Solve for x
    x = 60,886,809/3,051
  6. Step 6: Final answer
    x = 19,956.35

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.