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Finding the Third Proportional to 29,262 and 41,817.38

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Solution

The third proportional to 29,262 and 41,817.38 is: 59,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,262 : 41,817.38 = 41,817.38 : x
  2. Step 2: Convert to fraction form
    29,262/41,817.38 = 41,817.38/x
  3. Step 3: Cross multiply
    29,262x = 41,817.38 × 41,817.38
  4. Step 4: Simplify right side
    29,262x = 1,748,692,851.89
  5. Step 5: Solve for x
    x = 1,748,692,851.89/29,262
  6. Step 6: Final answer
    x = 59,759.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.