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Finding the Third Proportional to 36,202.50 and 57,460.50

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Solution

The third proportional to 36,202.50 and 57,460.50 is: 91,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202.50 : 57,460.50 = 57,460.50 : x
  2. Step 2: Convert to fraction form
    36,202.50/57,460.50 = 57,460.50/x
  3. Step 3: Cross multiply
    36,202.50x = 57,460.50 × 57,460.50
  4. Step 4: Simplify right side
    36,202.50x = 3,301,709,060.25
  5. Step 5: Solve for x
    x = 3,301,709,060.25/36,202.50
  6. Step 6: Final answer
    x = 91,201.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.