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Finding the Third Proportional to 13,765 and 30,270

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Solution

The third proportional to 13,765 and 30,270 is: 66,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765 : 30,270 = 30,270 : x
  2. Step 2: Convert to fraction form
    13,765/30,270 = 30,270/x
  3. Step 3: Cross multiply
    13,765x = 30,270 × 30,270
  4. Step 4: Simplify right side
    13,765x = 916,272,900
  5. Step 5: Solve for x
    x = 916,272,900/13,765
  6. Step 6: Final answer
    x = 66,565.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.