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Finding the Third Proportional to 37,982 and 56,666

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Solution

The third proportional to 37,982 and 56,666 is: 84,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982 : 56,666 = 56,666 : x
  2. Step 2: Convert to fraction form
    37,982/56,666 = 56,666/x
  3. Step 3: Cross multiply
    37,982x = 56,666 × 56,666
  4. Step 4: Simplify right side
    37,982x = 3,211,035,556
  5. Step 5: Solve for x
    x = 3,211,035,556/37,982
  6. Step 6: Final answer
    x = 84,540.98

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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.