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Finding the Third Proportional to 31,768.88 and 67,900.50

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Solution

The third proportional to 31,768.88 and 67,900.50 is: 145,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.88 : 67,900.50 = 67,900.50 : x
  2. Step 2: Convert to fraction form
    31,768.88/67,900.50 = 67,900.50/x
  3. Step 3: Cross multiply
    31,768.88x = 67,900.50 × 67,900.50
  4. Step 4: Simplify right side
    31,768.88x = 4,610,477,900.25
  5. Step 5: Solve for x
    x = 4,610,477,900.25/31,768.88
  6. Step 6: Final answer
    x = 145,125.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.