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Finding the Third Proportional to 53,667 and 70,591.50

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Solution

The third proportional to 53,667 and 70,591.50 is: 92,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,667 : 70,591.50 = 70,591.50 : x
  2. Step 2: Convert to fraction form
    53,667/70,591.50 = 70,591.50/x
  3. Step 3: Cross multiply
    53,667x = 70,591.50 × 70,591.50
  4. Step 4: Simplify right side
    53,667x = 4,983,159,872.25
  5. Step 5: Solve for x
    x = 4,983,159,872.25/53,667
  6. Step 6: Final answer
    x = 92,853.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.