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Finding the Third Proportional to 30,854 and 66,384

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Solution

The third proportional to 30,854 and 66,384 is: 142,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854 : 66,384 = 66,384 : x
  2. Step 2: Convert to fraction form
    30,854/66,384 = 66,384/x
  3. Step 3: Cross multiply
    30,854x = 66,384 × 66,384
  4. Step 4: Simplify right side
    30,854x = 4,406,835,456
  5. Step 5: Solve for x
    x = 4,406,835,456/30,854
  6. Step 6: Final answer
    x = 142,828.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.