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Finding the Third Proportional to 6,169 and 13,466

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Solution

The third proportional to 6,169 and 13,466 is: 29,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169 : 13,466 = 13,466 : x
  2. Step 2: Convert to fraction form
    6,169/13,466 = 13,466/x
  3. Step 3: Cross multiply
    6,169x = 13,466 × 13,466
  4. Step 4: Simplify right side
    6,169x = 181,333,156
  5. Step 5: Solve for x
    x = 181,333,156/6,169
  6. Step 6: Final answer
    x = 29,394.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.