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Finding the Third Proportional to 20,910 and 45,085

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Solution

The third proportional to 20,910 and 45,085 is: 97,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,910 : 45,085 = 45,085 : x
  2. Step 2: Convert to fraction form
    20,910/45,085 = 45,085/x
  3. Step 3: Cross multiply
    20,910x = 45,085 × 45,085
  4. Step 4: Simplify right side
    20,910x = 2,032,657,225
  5. Step 5: Solve for x
    x = 2,032,657,225/20,910
  6. Step 6: Final answer
    x = 97,209.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.