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Finding the Third Proportional to 31,716 and 44,343

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Solution

The third proportional to 31,716 and 44,343 is: 61,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716 : 44,343 = 44,343 : x
  2. Step 2: Convert to fraction form
    31,716/44,343 = 44,343/x
  3. Step 3: Cross multiply
    31,716x = 44,343 × 44,343
  4. Step 4: Simplify right side
    31,716x = 1,966,301,649
  5. Step 5: Solve for x
    x = 1,966,301,649/31,716
  6. Step 6: Final answer
    x = 61,997.15

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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.