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Finding the Third Proportional to 20,935.13 and 29,283.75

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Solution

The third proportional to 20,935.13 and 29,283.75 is: 40,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935.13 : 29,283.75 = 29,283.75 : x
  2. Step 2: Convert to fraction form
    20,935.13/29,283.75 = 29,283.75/x
  3. Step 3: Cross multiply
    20,935.13x = 29,283.75 × 29,283.75
  4. Step 4: Simplify right side
    20,935.13x = 857,538,014.06
  5. Step 5: Solve for x
    x = 857,538,014.06/20,935.13
  6. Step 6: Final answer
    x = 40,961.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.