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Finding the Third Proportional to 35,782 and 40,966

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Solution

The third proportional to 35,782 and 40,966 is: 46,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782 : 40,966 = 40,966 : x
  2. Step 2: Convert to fraction form
    35,782/40,966 = 40,966/x
  3. Step 3: Cross multiply
    35,782x = 40,966 × 40,966
  4. Step 4: Simplify right side
    35,782x = 1,678,213,156
  5. Step 5: Solve for x
    x = 1,678,213,156/35,782
  6. Step 6: Final answer
    x = 46,901.04

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.