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Finding the Third Proportional to 41,415.75 and 64,584

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Solution

The third proportional to 41,415.75 and 64,584 is: 100,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415.75 : 64,584 = 64,584 : x
  2. Step 2: Convert to fraction form
    41,415.75/64,584 = 64,584/x
  3. Step 3: Cross multiply
    41,415.75x = 64,584 × 64,584
  4. Step 4: Simplify right side
    41,415.75x = 4,171,093,056
  5. Step 5: Solve for x
    x = 4,171,093,056/41,415.75
  6. Step 6: Final answer
    x = 100,712.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.