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Finding the Third Proportional to 41,974 and 63,365

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Solution

The third proportional to 41,974 and 63,365 is: 95,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,974 : 63,365 = 63,365 : x
  2. Step 2: Convert to fraction form
    41,974/63,365 = 63,365/x
  3. Step 3: Cross multiply
    41,974x = 63,365 × 63,365
  4. Step 4: Simplify right side
    41,974x = 4,015,123,225
  5. Step 5: Solve for x
    x = 4,015,123,225/41,974
  6. Step 6: Final answer
    x = 95,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.