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Finding the Third Proportional to 40,244 and 61,228

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Solution

The third proportional to 40,244 and 61,228 is: 93,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,244 : 61,228 = 61,228 : x
  2. Step 2: Convert to fraction form
    40,244/61,228 = 61,228/x
  3. Step 3: Cross multiply
    40,244x = 61,228 × 61,228
  4. Step 4: Simplify right side
    40,244x = 3,748,867,984
  5. Step 5: Solve for x
    x = 3,748,867,984/40,244
  6. Step 6: Final answer
    x = 93,153.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.