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Finding the Third Proportional to 19,632 and 40,416

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Solution

The third proportional to 19,632 and 40,416 is: 83,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 40,416 = 40,416 : x
  2. Step 2: Convert to fraction form
    19,632/40,416 = 40,416/x
  3. Step 3: Cross multiply
    19,632x = 40,416 × 40,416
  4. Step 4: Simplify right side
    19,632x = 1,633,453,056
  5. Step 5: Solve for x
    x = 1,633,453,056/19,632
  6. Step 6: Final answer
    x = 83,203.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.