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Finding the Third Proportional to 29,500 and 45,680

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Solution

The third proportional to 29,500 and 45,680 is: 70,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 45,680 = 45,680 : x
  2. Step 2: Convert to fraction form
    29,500/45,680 = 45,680/x
  3. Step 3: Cross multiply
    29,500x = 45,680 × 45,680
  4. Step 4: Simplify right side
    29,500x = 2,086,662,400
  5. Step 5: Solve for x
    x = 2,086,662,400/29,500
  6. Step 6: Final answer
    x = 70,734.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.