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Finding the Third Proportional to 21,546 and 45,695

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Solution

The third proportional to 21,546 and 45,695 is: 96,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 45,695 = 45,695 : x
  2. Step 2: Convert to fraction form
    21,546/45,695 = 45,695/x
  3. Step 3: Cross multiply
    21,546x = 45,695 × 45,695
  4. Step 4: Simplify right side
    21,546x = 2,088,033,025
  5. Step 5: Solve for x
    x = 2,088,033,025/21,546
  6. Step 6: Final answer
    x = 96,910.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.