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Finding the Third Proportional to 40,536 and 61,360

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Solution

The third proportional to 40,536 and 61,360 is: 92,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536 : 61,360 = 61,360 : x
  2. Step 2: Convert to fraction form
    40,536/61,360 = 61,360/x
  3. Step 3: Cross multiply
    40,536x = 61,360 × 61,360
  4. Step 4: Simplify right side
    40,536x = 3,765,049,600
  5. Step 5: Solve for x
    x = 3,765,049,600/40,536
  6. Step 6: Final answer
    x = 92,881.63

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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.