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Finding the Third Proportional to 14,442.75 and 31,299.75

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Solution

The third proportional to 14,442.75 and 31,299.75 is: 67,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.75 : 31,299.75 = 31,299.75 : x
  2. Step 2: Convert to fraction form
    14,442.75/31,299.75 = 31,299.75/x
  3. Step 3: Cross multiply
    14,442.75x = 31,299.75 × 31,299.75
  4. Step 4: Simplify right side
    14,442.75x = 979,674,350.06
  5. Step 5: Solve for x
    x = 979,674,350.06/14,442.75
  6. Step 6: Final answer
    x = 67,831.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.