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Finding the Third Proportional to 40,644 and 85,716

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Solution

The third proportional to 40,644 and 85,716 is: 180,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,644 : 85,716 = 85,716 : x
  2. Step 2: Convert to fraction form
    40,644/85,716 = 85,716/x
  3. Step 3: Cross multiply
    40,644x = 85,716 × 85,716
  4. Step 4: Simplify right side
    40,644x = 7,347,232,656
  5. Step 5: Solve for x
    x = 7,347,232,656/40,644
  6. Step 6: Final answer
    x = 180,770.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.