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Finding the Third Proportional to 41,040 and 63,672

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Solution

The third proportional to 41,040 and 63,672 is: 98,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,040 : 63,672 = 63,672 : x
  2. Step 2: Convert to fraction form
    41,040/63,672 = 63,672/x
  3. Step 3: Cross multiply
    41,040x = 63,672 × 63,672
  4. Step 4: Simplify right side
    41,040x = 4,054,123,584
  5. Step 5: Solve for x
    x = 4,054,123,584/41,040
  6. Step 6: Final answer
    x = 98,784.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.