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Finding the Third Proportional to 13,066 and 28,180

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Solution

The third proportional to 13,066 and 28,180 is: 60,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066 : 28,180 = 28,180 : x
  2. Step 2: Convert to fraction form
    13,066/28,180 = 28,180/x
  3. Step 3: Cross multiply
    13,066x = 28,180 × 28,180
  4. Step 4: Simplify right side
    13,066x = 794,112,400
  5. Step 5: Solve for x
    x = 794,112,400/13,066
  6. Step 6: Final answer
    x = 60,777.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.