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Finding the Third Proportional to 20,646 and 45,403

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Solution

The third proportional to 20,646 and 45,403 is: 99,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 45,403 = 45,403 : x
  2. Step 2: Convert to fraction form
    20,646/45,403 = 45,403/x
  3. Step 3: Cross multiply
    20,646x = 45,403 × 45,403
  4. Step 4: Simplify right side
    20,646x = 2,061,432,409
  5. Step 5: Solve for x
    x = 2,061,432,409/20,646
  6. Step 6: Final answer
    x = 99,846.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.