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Finding the Third Proportional to 21,377 and 45,910

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Solution

The third proportional to 21,377 and 45,910 is: 98,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377 : 45,910 = 45,910 : x
  2. Step 2: Convert to fraction form
    21,377/45,910 = 45,910/x
  3. Step 3: Cross multiply
    21,377x = 45,910 × 45,910
  4. Step 4: Simplify right side
    21,377x = 2,107,728,100
  5. Step 5: Solve for x
    x = 2,107,728,100/21,377
  6. Step 6: Final answer
    x = 98,597.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.