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Finding the Third Proportional to 46,482 and 95,715

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Solution

The third proportional to 46,482 and 95,715 is: 197,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482 : 95,715 = 95,715 : x
  2. Step 2: Convert to fraction form
    46,482/95,715 = 95,715/x
  3. Step 3: Cross multiply
    46,482x = 95,715 × 95,715
  4. Step 4: Simplify right side
    46,482x = 9,161,361,225
  5. Step 5: Solve for x
    x = 9,161,361,225/46,482
  6. Step 6: Final answer
    x = 197,094.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.