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Finding the Third Proportional to 33,854.63 and 52,394.63

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Solution

The third proportional to 33,854.63 and 52,394.63 is: 81,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854.63 : 52,394.63 = 52,394.63 : x
  2. Step 2: Convert to fraction form
    33,854.63/52,394.63 = 52,394.63/x
  3. Step 3: Cross multiply
    33,854.63x = 52,394.63 × 52,394.63
  4. Step 4: Simplify right side
    33,854.63x = 2,745,196,728.89
  5. Step 5: Solve for x
    x = 2,745,196,728.89/33,854.63
  6. Step 6: Final answer
    x = 81,087.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.