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Finding the Third Proportional to 31,702 and 44,323

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Solution

The third proportional to 31,702 and 44,323 is: 61,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702 : 44,323 = 44,323 : x
  2. Step 2: Convert to fraction form
    31,702/44,323 = 44,323/x
  3. Step 3: Cross multiply
    31,702x = 44,323 × 44,323
  4. Step 4: Simplify right side
    31,702x = 1,964,528,329
  5. Step 5: Solve for x
    x = 1,964,528,329/31,702
  6. Step 6: Final answer
    x = 61,968.59

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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.