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Finding the Third Proportional to 31,102 and 44,024

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Solution

The third proportional to 31,102 and 44,024 is: 62,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102 : 44,024 = 44,024 : x
  2. Step 2: Convert to fraction form
    31,102/44,024 = 44,024/x
  3. Step 3: Cross multiply
    31,102x = 44,024 × 44,024
  4. Step 4: Simplify right side
    31,102x = 1,938,112,576
  5. Step 5: Solve for x
    x = 1,938,112,576/31,102
  6. Step 6: Final answer
    x = 62,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.