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Finding the Third Proportional to 41,633 and 63,486

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Solution

The third proportional to 41,633 and 63,486 is: 96,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,633 : 63,486 = 63,486 : x
  2. Step 2: Convert to fraction form
    41,633/63,486 = 63,486/x
  3. Step 3: Cross multiply
    41,633x = 63,486 × 63,486
  4. Step 4: Simplify right side
    41,633x = 4,030,472,196
  5. Step 5: Solve for x
    x = 4,030,472,196/41,633
  6. Step 6: Final answer
    x = 96,809.55

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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.