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Finding the Third Proportional to 37,402 and 56,199

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Solution

The third proportional to 37,402 and 56,199 is: 84,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,402 : 56,199 = 56,199 : x
  2. Step 2: Convert to fraction form
    37,402/56,199 = 56,199/x
  3. Step 3: Cross multiply
    37,402x = 56,199 × 56,199
  4. Step 4: Simplify right side
    37,402x = 3,158,327,601
  5. Step 5: Solve for x
    x = 3,158,327,601/37,402
  6. Step 6: Final answer
    x = 84,442.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.