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Finding the Third Proportional to 41,532 and 64,482

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Solution

The third proportional to 41,532 and 64,482 is: 100,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,532 : 64,482 = 64,482 : x
  2. Step 2: Convert to fraction form
    41,532/64,482 = 64,482/x
  3. Step 3: Cross multiply
    41,532x = 64,482 × 64,482
  4. Step 4: Simplify right side
    41,532x = 4,157,928,324
  5. Step 5: Solve for x
    x = 4,157,928,324/41,532
  6. Step 6: Final answer
    x = 100,113.85

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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.