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Finding the Third Proportional to 31,066.50 and 67,650

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Solution

The third proportional to 31,066.50 and 67,650 is: 147,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.50 : 67,650 = 67,650 : x
  2. Step 2: Convert to fraction form
    31,066.50/67,650 = 67,650/x
  3. Step 3: Cross multiply
    31,066.50x = 67,650 × 67,650
  4. Step 4: Simplify right side
    31,066.50x = 4,576,522,500
  5. Step 5: Solve for x
    x = 4,576,522,500/31,066.50
  6. Step 6: Final answer
    x = 147,313.75

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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.