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Finding the Third Proportional to 30,396.50 and 45,473

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Solution

The third proportional to 30,396.50 and 45,473 is: 68,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.50 : 45,473 = 45,473 : x
  2. Step 2: Convert to fraction form
    30,396.50/45,473 = 45,473/x
  3. Step 3: Cross multiply
    30,396.50x = 45,473 × 45,473
  4. Step 4: Simplify right side
    30,396.50x = 2,067,793,729
  5. Step 5: Solve for x
    x = 2,067,793,729/30,396.50
  6. Step 6: Final answer
    x = 68,027.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.