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Finding the Third Proportional to 6,561 and 13,423.50

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Solution

The third proportional to 6,561 and 13,423.50 is: 27,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 13,423.50 = 13,423.50 : x
  2. Step 2: Convert to fraction form
    6,561/13,423.50 = 13,423.50/x
  3. Step 3: Cross multiply
    6,561x = 13,423.50 × 13,423.50
  4. Step 4: Simplify right side
    6,561x = 180,190,352.25
  5. Step 5: Solve for x
    x = 180,190,352.25/6,561
  6. Step 6: Final answer
    x = 27,463.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.