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Finding the Third Proportional to 13,426 and 28,579

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Solution

The third proportional to 13,426 and 28,579 is: 60,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426 : 28,579 = 28,579 : x
  2. Step 2: Convert to fraction form
    13,426/28,579 = 28,579/x
  3. Step 3: Cross multiply
    13,426x = 28,579 × 28,579
  4. Step 4: Simplify right side
    13,426x = 816,759,241
  5. Step 5: Solve for x
    x = 816,759,241/13,426
  6. Step 6: Final answer
    x = 60,834.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.