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Finding the Third Proportional to 37,364 and 56,091

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Solution

The third proportional to 37,364 and 56,091 is: 84,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,364 : 56,091 = 56,091 : x
  2. Step 2: Convert to fraction form
    37,364/56,091 = 56,091/x
  3. Step 3: Cross multiply
    37,364x = 56,091 × 56,091
  4. Step 4: Simplify right side
    37,364x = 3,146,200,281
  5. Step 5: Solve for x
    x = 3,146,200,281/37,364
  6. Step 6: Final answer
    x = 84,204.05

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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.