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Finding the Third Proportional to 31,189.50 and 45,825.75

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Solution

The third proportional to 31,189.50 and 45,825.75 is: 67,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.50 : 45,825.75 = 45,825.75 : x
  2. Step 2: Convert to fraction form
    31,189.50/45,825.75 = 45,825.75/x
  3. Step 3: Cross multiply
    31,189.50x = 45,825.75 × 45,825.75
  4. Step 4: Simplify right side
    31,189.50x = 2,099,999,363.06
  5. Step 5: Solve for x
    x = 2,099,999,363.06/31,189.50
  6. Step 6: Final answer
    x = 67,330.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.