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Finding the Third Proportional to 30,577.50 and 62,451

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Solution

The third proportional to 30,577.50 and 62,451 is: 127,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.50 : 62,451 = 62,451 : x
  2. Step 2: Convert to fraction form
    30,577.50/62,451 = 62,451/x
  3. Step 3: Cross multiply
    30,577.50x = 62,451 × 62,451
  4. Step 4: Simplify right side
    30,577.50x = 3,900,127,401
  5. Step 5: Solve for x
    x = 3,900,127,401/30,577.50
  6. Step 6: Final answer
    x = 127,548.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.