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Finding the Third Proportional to 29,340 and 62,160

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Solution

The third proportional to 29,340 and 62,160 is: 131,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,340 : 62,160 = 62,160 : x
  2. Step 2: Convert to fraction form
    29,340/62,160 = 62,160/x
  3. Step 3: Cross multiply
    29,340x = 62,160 × 62,160
  4. Step 4: Simplify right side
    29,340x = 3,863,865,600
  5. Step 5: Solve for x
    x = 3,863,865,600/29,340
  6. Step 6: Final answer
    x = 131,692.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.