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Finding the Third Proportional to 16,061 and 21,310

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Solution

The third proportional to 16,061 and 21,310 is: 28,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061 : 21,310 = 21,310 : x
  2. Step 2: Convert to fraction form
    16,061/21,310 = 21,310/x
  3. Step 3: Cross multiply
    16,061x = 21,310 × 21,310
  4. Step 4: Simplify right side
    16,061x = 454,116,100
  5. Step 5: Solve for x
    x = 454,116,100/16,061
  6. Step 6: Final answer
    x = 28,274.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.