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Finding the Third Proportional to 31,408 and 44,018

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Solution

The third proportional to 31,408 and 44,018 is: 61,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408 : 44,018 = 44,018 : x
  2. Step 2: Convert to fraction form
    31,408/44,018 = 44,018/x
  3. Step 3: Cross multiply
    31,408x = 44,018 × 44,018
  4. Step 4: Simplify right side
    31,408x = 1,937,584,324
  5. Step 5: Solve for x
    x = 1,937,584,324/31,408
  6. Step 6: Final answer
    x = 61,690.79

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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.