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Finding the Third Proportional to 37,262 and 59,835

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Solution

The third proportional to 37,262 and 59,835 is: 96,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,262 : 59,835 = 59,835 : x
  2. Step 2: Convert to fraction form
    37,262/59,835 = 59,835/x
  3. Step 3: Cross multiply
    37,262x = 59,835 × 59,835
  4. Step 4: Simplify right side
    37,262x = 3,580,227,225
  5. Step 5: Solve for x
    x = 3,580,227,225/37,262
  6. Step 6: Final answer
    x = 96,082.53

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.