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Finding the Third Proportional to 13,166 and 28,140

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Solution

The third proportional to 13,166 and 28,140 is: 60,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166 : 28,140 = 28,140 : x
  2. Step 2: Convert to fraction form
    13,166/28,140 = 28,140/x
  3. Step 3: Cross multiply
    13,166x = 28,140 × 28,140
  4. Step 4: Simplify right side
    13,166x = 791,859,600
  5. Step 5: Solve for x
    x = 791,859,600/13,166
  6. Step 6: Final answer
    x = 60,144.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.