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Finding the Third Proportional to 14,235.75 and 31,143.38

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Solution

The third proportional to 14,235.75 and 31,143.38 is: 68,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.75 : 31,143.38 = 31,143.38 : x
  2. Step 2: Convert to fraction form
    14,235.75/31,143.38 = 31,143.38/x
  3. Step 3: Cross multiply
    14,235.75x = 31,143.38 × 31,143.38
  4. Step 4: Simplify right side
    14,235.75x = 969,909,806.39
  5. Step 5: Solve for x
    x = 969,909,806.39/14,235.75
  6. Step 6: Final answer
    x = 68,131.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.