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Finding the Third Proportional to 16,402 and 21,810

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Solution

The third proportional to 16,402 and 21,810 is: 29,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402 : 21,810 = 21,810 : x
  2. Step 2: Convert to fraction form
    16,402/21,810 = 21,810/x
  3. Step 3: Cross multiply
    16,402x = 21,810 × 21,810
  4. Step 4: Simplify right side
    16,402x = 475,676,100
  5. Step 5: Solve for x
    x = 475,676,100/16,402
  6. Step 6: Final answer
    x = 29,001.10

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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.