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Finding the Third Proportional to 40,956 and 61,810

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Solution

The third proportional to 40,956 and 61,810 is: 93,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,956 : 61,810 = 61,810 : x
  2. Step 2: Convert to fraction form
    40,956/61,810 = 61,810/x
  3. Step 3: Cross multiply
    40,956x = 61,810 × 61,810
  4. Step 4: Simplify right side
    40,956x = 3,820,476,100
  5. Step 5: Solve for x
    x = 3,820,476,100/40,956
  6. Step 6: Final answer
    x = 93,282.45

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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.