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Finding the Third Proportional to 11,310 and 14,769

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Solution

The third proportional to 11,310 and 14,769 is: 19,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310 : 14,769 = 14,769 : x
  2. Step 2: Convert to fraction form
    11,310/14,769 = 14,769/x
  3. Step 3: Cross multiply
    11,310x = 14,769 × 14,769
  4. Step 4: Simplify right side
    11,310x = 218,123,361
  5. Step 5: Solve for x
    x = 218,123,361/11,310
  6. Step 6: Final answer
    x = 19,285.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.