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Finding the Third Proportional to 20,911 and 45,229

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Solution

The third proportional to 20,911 and 45,229 is: 97,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,911 : 45,229 = 45,229 : x
  2. Step 2: Convert to fraction form
    20,911/45,229 = 45,229/x
  3. Step 3: Cross multiply
    20,911x = 45,229 × 45,229
  4. Step 4: Simplify right side
    20,911x = 2,045,662,441
  5. Step 5: Solve for x
    x = 2,045,662,441/20,911
  6. Step 6: Final answer
    x = 97,827.10

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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.