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Finding the Third Proportional to 40,320 and 84,816

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Solution

The third proportional to 40,320 and 84,816 is: 178,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 84,816 = 84,816 : x
  2. Step 2: Convert to fraction form
    40,320/84,816 = 84,816/x
  3. Step 3: Cross multiply
    40,320x = 84,816 × 84,816
  4. Step 4: Simplify right side
    40,320x = 7,193,753,856
  5. Step 5: Solve for x
    x = 7,193,753,856/40,320
  6. Step 6: Final answer
    x = 178,416.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.