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Finding the Third Proportional to 45,667.50 and 71,657.25

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Solution

The third proportional to 45,667.50 and 71,657.25 is: 112,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,667.50 : 71,657.25 = 71,657.25 : x
  2. Step 2: Convert to fraction form
    45,667.50/71,657.25 = 71,657.25/x
  3. Step 3: Cross multiply
    45,667.50x = 71,657.25 × 71,657.25
  4. Step 4: Simplify right side
    45,667.50x = 5,134,761,477.56
  5. Step 5: Solve for x
    x = 5,134,761,477.56/45,667.50
  6. Step 6: Final answer
    x = 112,437.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.