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Finding the Third Proportional to 31,829.63 and 67,143.94

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Solution

The third proportional to 31,829.63 and 67,143.94 is: 141,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,829.63 : 67,143.94 = 67,143.94 : x
  2. Step 2: Convert to fraction form
    31,829.63/67,143.94 = 67,143.94/x
  3. Step 3: Cross multiply
    31,829.63x = 67,143.94 × 67,143.94
  4. Step 4: Simplify right side
    31,829.63x = 4,508,308,343.00
  5. Step 5: Solve for x
    x = 4,508,308,343.00/31,829.63
  6. Step 6: Final answer
    x = 141,638.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.