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Finding the Third Proportional to 13,070 and 28,102

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Solution

The third proportional to 13,070 and 28,102 is: 60,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 28,102 = 28,102 : x
  2. Step 2: Convert to fraction form
    13,070/28,102 = 28,102/x
  3. Step 3: Cross multiply
    13,070x = 28,102 × 28,102
  4. Step 4: Simplify right side
    13,070x = 789,722,404
  5. Step 5: Solve for x
    x = 789,722,404/13,070
  6. Step 6: Final answer
    x = 60,422.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.