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Finding the Third Proportional to 30,911.50 and 66,827

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Solution

The third proportional to 30,911.50 and 66,827 is: 144,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.50 : 66,827 = 66,827 : x
  2. Step 2: Convert to fraction form
    30,911.50/66,827 = 66,827/x
  3. Step 3: Cross multiply
    30,911.50x = 66,827 × 66,827
  4. Step 4: Simplify right side
    30,911.50x = 4,465,847,929
  5. Step 5: Solve for x
    x = 4,465,847,929/30,911.50
  6. Step 6: Final answer
    x = 144,472.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.