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Finding the Third Proportional to 5,924.81 and 12,720.94

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Solution

The third proportional to 5,924.81 and 12,720.94 is: 27,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.81 : 12,720.94 = 12,720.94 : x
  2. Step 2: Convert to fraction form
    5,924.81/12,720.94 = 12,720.94/x
  3. Step 3: Cross multiply
    5,924.81x = 12,720.94 × 12,720.94
  4. Step 4: Simplify right side
    5,924.81x = 161,822,250.88
  5. Step 5: Solve for x
    x = 161,822,250.88/5,924.81
  6. Step 6: Final answer
    x = 27,312.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.