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Finding the Third Proportional to 13,624.88 and 30,438.56

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Solution

The third proportional to 13,624.88 and 30,438.56 is: 68,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.88 : 30,438.56 = 30,438.56 : x
  2. Step 2: Convert to fraction form
    13,624.88/30,438.56 = 30,438.56/x
  3. Step 3: Cross multiply
    13,624.88x = 30,438.56 × 30,438.56
  4. Step 4: Simplify right side
    13,624.88x = 926,506,087.07
  5. Step 5: Solve for x
    x = 926,506,087.07/13,624.88
  6. Step 6: Final answer
    x = 68,001.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.