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Finding the Third Proportional to 13,109 and 19,465

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Solution

The third proportional to 13,109 and 19,465 is: 28,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109 : 19,465 = 19,465 : x
  2. Step 2: Convert to fraction form
    13,109/19,465 = 19,465/x
  3. Step 3: Cross multiply
    13,109x = 19,465 × 19,465
  4. Step 4: Simplify right side
    13,109x = 378,886,225
  5. Step 5: Solve for x
    x = 378,886,225/13,109
  6. Step 6: Final answer
    x = 28,902.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.