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Finding the Third Proportional to 30,854 and 63,894

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Solution

The third proportional to 30,854 and 63,894 is: 132,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854 : 63,894 = 63,894 : x
  2. Step 2: Convert to fraction form
    30,854/63,894 = 63,894/x
  3. Step 3: Cross multiply
    30,854x = 63,894 × 63,894
  4. Step 4: Simplify right side
    30,854x = 4,082,443,236
  5. Step 5: Solve for x
    x = 4,082,443,236/30,854
  6. Step 6: Final answer
    x = 132,314.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.