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Finding the Third Proportional to 30,893 and 51,132

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Solution

The third proportional to 30,893 and 51,132 is: 84,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893 : 51,132 = 51,132 : x
  2. Step 2: Convert to fraction form
    30,893/51,132 = 51,132/x
  3. Step 3: Cross multiply
    30,893x = 51,132 × 51,132
  4. Step 4: Simplify right side
    30,893x = 2,614,481,424
  5. Step 5: Solve for x
    x = 2,614,481,424/30,893
  6. Step 6: Final answer
    x = 84,630.22

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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.