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Finding the Third Proportional to 37,969 and 56,645

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Solution

The third proportional to 37,969 and 56,645 is: 84,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,969 : 56,645 = 56,645 : x
  2. Step 2: Convert to fraction form
    37,969/56,645 = 56,645/x
  3. Step 3: Cross multiply
    37,969x = 56,645 × 56,645
  4. Step 4: Simplify right side
    37,969x = 3,208,656,025
  5. Step 5: Solve for x
    x = 3,208,656,025/37,969
  6. Step 6: Final answer
    x = 84,507.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.