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Finding the Third Proportional to 31,778 and 44,304

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Solution

The third proportional to 31,778 and 44,304 is: 61,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778 : 44,304 = 44,304 : x
  2. Step 2: Convert to fraction form
    31,778/44,304 = 44,304/x
  3. Step 3: Cross multiply
    31,778x = 44,304 × 44,304
  4. Step 4: Simplify right side
    31,778x = 1,962,844,416
  5. Step 5: Solve for x
    x = 1,962,844,416/31,778
  6. Step 6: Final answer
    x = 61,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.