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Finding the Third Proportional to 14,556.38 and 31,431.38

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Solution

The third proportional to 14,556.38 and 31,431.38 is: 67,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.38 : 31,431.38 = 31,431.38 : x
  2. Step 2: Convert to fraction form
    14,556.38/31,431.38 = 31,431.38/x
  3. Step 3: Cross multiply
    14,556.38x = 31,431.38 × 31,431.38
  4. Step 4: Simplify right side
    14,556.38x = 987,931,334.39
  5. Step 5: Solve for x
    x = 987,931,334.39/14,556.38
  6. Step 6: Final answer
    x = 67,869.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.