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Finding the Third Proportional to 5,894.50 and 12,829.75

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Solution

The third proportional to 5,894.50 and 12,829.75 is: 27,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.50 : 12,829.75 = 12,829.75 : x
  2. Step 2: Convert to fraction form
    5,894.50/12,829.75 = 12,829.75/x
  3. Step 3: Cross multiply
    5,894.50x = 12,829.75 × 12,829.75
  4. Step 4: Simplify right side
    5,894.50x = 164,602,485.06
  5. Step 5: Solve for x
    x = 164,602,485.06/5,894.50
  6. Step 6: Final answer
    x = 27,924.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.