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Finding the Third Proportional to 30,850 and 51,216

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Solution

The third proportional to 30,850 and 51,216 is: 85,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850 : 51,216 = 51,216 : x
  2. Step 2: Convert to fraction form
    30,850/51,216 = 51,216/x
  3. Step 3: Cross multiply
    30,850x = 51,216 × 51,216
  4. Step 4: Simplify right side
    30,850x = 2,623,078,656
  5. Step 5: Solve for x
    x = 2,623,078,656/30,850
  6. Step 6: Final answer
    x = 85,026.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.