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Finding the Third Proportional to 10,746 and 16,623

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Solution

The third proportional to 10,746 and 16,623 is: 25,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 16,623 = 16,623 : x
  2. Step 2: Convert to fraction form
    10,746/16,623 = 16,623/x
  3. Step 3: Cross multiply
    10,746x = 16,623 × 16,623
  4. Step 4: Simplify right side
    10,746x = 276,324,129
  5. Step 5: Solve for x
    x = 276,324,129/10,746
  6. Step 6: Final answer
    x = 25,714.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.