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Finding the Third Proportional to 1,647.84 and 3,856.36

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Solution

The third proportional to 1,647.84 and 3,856.36 is: 9,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.84 : 3,856.36 = 3,856.36 : x
  2. Step 2: Convert to fraction form
    1,647.84/3,856.36 = 3,856.36/x
  3. Step 3: Cross multiply
    1,647.84x = 3,856.36 × 3,856.36
  4. Step 4: Simplify right side
    1,647.84x = 14,871,507.63
  5. Step 5: Solve for x
    x = 14,871,507.63/1,647.84
  6. Step 6: Final answer
    x = 9,024.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.