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Finding the Third Proportional to 13,620 and 30,159

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Solution

The third proportional to 13,620 and 30,159 is: 66,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620 : 30,159 = 30,159 : x
  2. Step 2: Convert to fraction form
    13,620/30,159 = 30,159/x
  3. Step 3: Cross multiply
    13,620x = 30,159 × 30,159
  4. Step 4: Simplify right side
    13,620x = 909,565,281
  5. Step 5: Solve for x
    x = 909,565,281/13,620
  6. Step 6: Final answer
    x = 66,781.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.