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Finding the Third Proportional to 37,368 and 56,191

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Solution

The third proportional to 37,368 and 56,191 is: 84,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,368 : 56,191 = 56,191 : x
  2. Step 2: Convert to fraction form
    37,368/56,191 = 56,191/x
  3. Step 3: Cross multiply
    37,368x = 56,191 × 56,191
  4. Step 4: Simplify right side
    37,368x = 3,157,428,481
  5. Step 5: Solve for x
    x = 3,157,428,481/37,368
  6. Step 6: Final answer
    x = 84,495.52

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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.