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Finding the Third Proportional to 41,595 and 63,935

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Solution

The third proportional to 41,595 and 63,935 is: 98,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,595 : 63,935 = 63,935 : x
  2. Step 2: Convert to fraction form
    41,595/63,935 = 63,935/x
  3. Step 3: Cross multiply
    41,595x = 63,935 × 63,935
  4. Step 4: Simplify right side
    41,595x = 4,087,684,225
  5. Step 5: Solve for x
    x = 4,087,684,225/41,595
  6. Step 6: Final answer
    x = 98,273.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.