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Finding the Third Proportional to 15,438.38 and 31,422.38

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Solution

The third proportional to 15,438.38 and 31,422.38 is: 63,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.38 : 31,422.38 = 31,422.38 : x
  2. Step 2: Convert to fraction form
    15,438.38/31,422.38 = 31,422.38/x
  3. Step 3: Cross multiply
    15,438.38x = 31,422.38 × 31,422.38
  4. Step 4: Simplify right side
    15,438.38x = 987,365,650.64
  5. Step 5: Solve for x
    x = 987,365,650.64/15,438.38
  6. Step 6: Final answer
    x = 63,955.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.