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Finding the Third Proportional to 14,095 and 21,671

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Solution

The third proportional to 14,095 and 21,671 is: 33,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095 : 21,671 = 21,671 : x
  2. Step 2: Convert to fraction form
    14,095/21,671 = 21,671/x
  3. Step 3: Cross multiply
    14,095x = 21,671 × 21,671
  4. Step 4: Simplify right side
    14,095x = 469,632,241
  5. Step 5: Solve for x
    x = 469,632,241/14,095
  6. Step 6: Final answer
    x = 33,319.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.