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Finding the Third Proportional to 7,284 and 14,769

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Solution

The third proportional to 7,284 and 14,769 is: 29,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 14,769 = 14,769 : x
  2. Step 2: Convert to fraction form
    7,284/14,769 = 14,769/x
  3. Step 3: Cross multiply
    7,284x = 14,769 × 14,769
  4. Step 4: Simplify right side
    7,284x = 218,123,361
  5. Step 5: Solve for x
    x = 218,123,361/7,284
  6. Step 6: Final answer
    x = 29,945.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.