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Finding the Third Proportional to 41,924 and 63,426

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Solution

The third proportional to 41,924 and 63,426 is: 95,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,924 : 63,426 = 63,426 : x
  2. Step 2: Convert to fraction form
    41,924/63,426 = 63,426/x
  3. Step 3: Cross multiply
    41,924x = 63,426 × 63,426
  4. Step 4: Simplify right side
    41,924x = 4,022,857,476
  5. Step 5: Solve for x
    x = 4,022,857,476/41,924
  6. Step 6: Final answer
    x = 95,955.96

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