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Finding the Third Proportional to 40,820 and 94,085

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Solution

The third proportional to 40,820 and 94,085 is: 216,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820 : 94,085 = 94,085 : x
  2. Step 2: Convert to fraction form
    40,820/94,085 = 94,085/x
  3. Step 3: Cross multiply
    40,820x = 94,085 × 94,085
  4. Step 4: Simplify right side
    40,820x = 8,851,987,225
  5. Step 5: Solve for x
    x = 8,851,987,225/40,820
  6. Step 6: Final answer
    x = 216,854.17

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.