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Finding the Third Proportional to 31,778 and 60,670

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Solution

The third proportional to 31,778 and 60,670 is: 115,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778 : 60,670 = 60,670 : x
  2. Step 2: Convert to fraction form
    31,778/60,670 = 60,670/x
  3. Step 3: Cross multiply
    31,778x = 60,670 × 60,670
  4. Step 4: Simplify right side
    31,778x = 3,680,848,900
  5. Step 5: Solve for x
    x = 3,680,848,900/31,778
  6. Step 6: Final answer
    x = 115,830.10

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.