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Finding the Third Proportional to 5,973 and 12,769.50

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Solution

The third proportional to 5,973 and 12,769.50 is: 27,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973 : 12,769.50 = 12,769.50 : x
  2. Step 2: Convert to fraction form
    5,973/12,769.50 = 12,769.50/x
  3. Step 3: Cross multiply
    5,973x = 12,769.50 × 12,769.50
  4. Step 4: Simplify right side
    5,973x = 163,060,130.25
  5. Step 5: Solve for x
    x = 163,060,130.25/5,973
  6. Step 6: Final answer
    x = 27,299.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.