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Finding the Third Proportional to 31,218.50 and 67,980.50

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Solution

The third proportional to 31,218.50 and 67,980.50 is: 148,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218.50 : 67,980.50 = 67,980.50 : x
  2. Step 2: Convert to fraction form
    31,218.50/67,980.50 = 67,980.50/x
  3. Step 3: Cross multiply
    31,218.50x = 67,980.50 × 67,980.50
  4. Step 4: Simplify right side
    31,218.50x = 4,621,348,380.25
  5. Step 5: Solve for x
    x = 4,621,348,380.25/31,218.50
  6. Step 6: Final answer
    x = 148,032.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.