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Finding the Third Proportional to 28,831.50 and 61,975

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Solution

The third proportional to 28,831.50 and 61,975 is: 133,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,831.50 : 61,975 = 61,975 : x
  2. Step 2: Convert to fraction form
    28,831.50/61,975 = 61,975/x
  3. Step 3: Cross multiply
    28,831.50x = 61,975 × 61,975
  4. Step 4: Simplify right side
    28,831.50x = 3,840,900,625
  5. Step 5: Solve for x
    x = 3,840,900,625/28,831.50
  6. Step 6: Final answer
    x = 133,218.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.