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Finding the Third Proportional to 13,957.31 and 30,500.30

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Solution

The third proportional to 13,957.31 and 30,500.30 is: 66,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.31 : 30,500.30 = 30,500.30 : x
  2. Step 2: Convert to fraction form
    13,957.31/30,500.30 = 30,500.30/x
  3. Step 3: Cross multiply
    13,957.31x = 30,500.30 × 30,500.30
  4. Step 4: Simplify right side
    13,957.31x = 930,268,109.46
  5. Step 5: Solve for x
    x = 930,268,109.46/13,957.31
  6. Step 6: Final answer
    x = 66,650.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.