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Finding the Third Proportional to 26,440 and 31,304

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Solution

The third proportional to 26,440 and 31,304 is: 37,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440 : 31,304 = 31,304 : x
  2. Step 2: Convert to fraction form
    26,440/31,304 = 31,304/x
  3. Step 3: Cross multiply
    26,440x = 31,304 × 31,304
  4. Step 4: Simplify right side
    26,440x = 979,940,416
  5. Step 5: Solve for x
    x = 979,940,416/26,440
  6. Step 6: Final answer
    x = 37,062.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.