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Finding the Third Proportional to 40,606 and 61,423

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Solution

The third proportional to 40,606 and 61,423 is: 92,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,606 : 61,423 = 61,423 : x
  2. Step 2: Convert to fraction form
    40,606/61,423 = 61,423/x
  3. Step 3: Cross multiply
    40,606x = 61,423 × 61,423
  4. Step 4: Simplify right side
    40,606x = 3,772,784,929
  5. Step 5: Solve for x
    x = 3,772,784,929/40,606
  6. Step 6: Final answer
    x = 92,912.01

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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.