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Finding the Third Proportional to 40,841 and 55,428

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Solution

The third proportional to 40,841 and 55,428 is: 75,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,841 : 55,428 = 55,428 : x
  2. Step 2: Convert to fraction form
    40,841/55,428 = 55,428/x
  3. Step 3: Cross multiply
    40,841x = 55,428 × 55,428
  4. Step 4: Simplify right side
    40,841x = 3,072,263,184
  5. Step 5: Solve for x
    x = 3,072,263,184/40,841
  6. Step 6: Final answer
    x = 75,224.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.