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Finding the Third Proportional to 13,957.13 and 30,419.63

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Solution

The third proportional to 13,957.13 and 30,419.63 is: 66,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.13 : 30,419.63 = 30,419.63 : x
  2. Step 2: Convert to fraction form
    13,957.13/30,419.63 = 30,419.63/x
  3. Step 3: Cross multiply
    13,957.13x = 30,419.63 × 30,419.63
  4. Step 4: Simplify right side
    13,957.13x = 925,353,585.14
  5. Step 5: Solve for x
    x = 925,353,585.14/13,957.13
  6. Step 6: Final answer
    x = 66,299.73

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Why These Related Problems?

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