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Finding the Third Proportional to 9,846 and 14,769

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Solution

The third proportional to 9,846 and 14,769 is: 22,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 14,769 = 14,769 : x
  2. Step 2: Convert to fraction form
    9,846/14,769 = 14,769/x
  3. Step 3: Cross multiply
    9,846x = 14,769 × 14,769
  4. Step 4: Simplify right side
    9,846x = 218,123,361
  5. Step 5: Solve for x
    x = 218,123,361/9,846
  6. Step 6: Final answer
    x = 22,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.