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Finding the Third Proportional to 31,228.88 and 66,919.50

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Solution

The third proportional to 31,228.88 and 66,919.50 is: 143,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.88 : 66,919.50 = 66,919.50 : x
  2. Step 2: Convert to fraction form
    31,228.88/66,919.50 = 66,919.50/x
  3. Step 3: Cross multiply
    31,228.88x = 66,919.50 × 66,919.50
  4. Step 4: Simplify right side
    31,228.88x = 4,478,219,480.25
  5. Step 5: Solve for x
    x = 4,478,219,480.25/31,228.88
  6. Step 6: Final answer
    x = 143,399.96

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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.