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Finding the Third Proportional to 20,451 and 44,602

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Solution

The third proportional to 20,451 and 44,602 is: 97,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 44,602 = 44,602 : x
  2. Step 2: Convert to fraction form
    20,451/44,602 = 44,602/x
  3. Step 3: Cross multiply
    20,451x = 44,602 × 44,602
  4. Step 4: Simplify right side
    20,451x = 1,989,338,404
  5. Step 5: Solve for x
    x = 1,989,338,404/20,451
  6. Step 6: Final answer
    x = 97,273.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.