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Finding the Third Proportional to 37,017 and 54,142.59

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Solution

The third proportional to 37,017 and 54,142.59 is: 79,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017 : 54,142.59 = 54,142.59 : x
  2. Step 2: Convert to fraction form
    37,017/54,142.59 = 54,142.59/x
  3. Step 3: Cross multiply
    37,017x = 54,142.59 × 54,142.59
  4. Step 4: Simplify right side
    37,017x = 2,931,420,457.98
  5. Step 5: Solve for x
    x = 2,931,420,457.98/37,017
  6. Step 6: Final answer
    x = 79,191.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.