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Finding the Third Proportional to 42,337.50 and 57,667.50

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Solution

The third proportional to 42,337.50 and 57,667.50 is: 78,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,337.50 : 57,667.50 = 57,667.50 : x
  2. Step 2: Convert to fraction form
    42,337.50/57,667.50 = 57,667.50/x
  3. Step 3: Cross multiply
    42,337.50x = 57,667.50 × 57,667.50
  4. Step 4: Simplify right side
    42,337.50x = 3,325,540,556.25
  5. Step 5: Solve for x
    x = 3,325,540,556.25/42,337.50
  6. Step 6: Final answer
    x = 78,548.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.