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Finding the Third Proportional to 31,756.50 and 67,736.25

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Solution

The third proportional to 31,756.50 and 67,736.25 is: 144,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.50 : 67,736.25 = 67,736.25 : x
  2. Step 2: Convert to fraction form
    31,756.50/67,736.25 = 67,736.25/x
  3. Step 3: Cross multiply
    31,756.50x = 67,736.25 × 67,736.25
  4. Step 4: Simplify right side
    31,756.50x = 4,588,199,564.06
  5. Step 5: Solve for x
    x = 4,588,199,564.06/31,756.50
  6. Step 6: Final answer
    x = 144,480.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.