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Finding the Third Proportional to 10,590 and 13,671

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Solution

The third proportional to 10,590 and 13,671 is: 17,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 13,671 = 13,671 : x
  2. Step 2: Convert to fraction form
    10,590/13,671 = 13,671/x
  3. Step 3: Cross multiply
    10,590x = 13,671 × 13,671
  4. Step 4: Simplify right side
    10,590x = 186,896,241
  5. Step 5: Solve for x
    x = 186,896,241/10,590
  6. Step 6: Final answer
    x = 17,648.37

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.