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Finding the Third Proportional to 31,476 and 44,004

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Solution

The third proportional to 31,476 and 44,004 is: 61,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476 : 44,004 = 44,004 : x
  2. Step 2: Convert to fraction form
    31,476/44,004 = 44,004/x
  3. Step 3: Cross multiply
    31,476x = 44,004 × 44,004
  4. Step 4: Simplify right side
    31,476x = 1,936,352,016
  5. Step 5: Solve for x
    x = 1,936,352,016/31,476
  6. Step 6: Final answer
    x = 61,518.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.