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Finding the Third Proportional to 9,169 and 13,773

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Solution

The third proportional to 9,169 and 13,773 is: 20,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 13,773 = 13,773 : x
  2. Step 2: Convert to fraction form
    9,169/13,773 = 13,773/x
  3. Step 3: Cross multiply
    9,169x = 13,773 × 13,773
  4. Step 4: Simplify right side
    9,169x = 189,695,529
  5. Step 5: Solve for x
    x = 189,695,529/9,169
  6. Step 6: Final answer
    x = 20,688.79

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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.