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Finding the Third Proportional to 31,949.44 and 44,683.31

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Solution

The third proportional to 31,949.44 and 44,683.31 is: 62,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,949.44 : 44,683.31 = 44,683.31 : x
  2. Step 2: Convert to fraction form
    31,949.44/44,683.31 = 44,683.31/x
  3. Step 3: Cross multiply
    31,949.44x = 44,683.31 × 44,683.31
  4. Step 4: Simplify right side
    31,949.44x = 1,996,598,415.97
  5. Step 5: Solve for x
    x = 1,996,598,415.97/31,949.44
  6. Step 6: Final answer
    x = 62,492.44

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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.