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Finding the Third Proportional to 30,086.25 and 45,065.25

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Solution

The third proportional to 30,086.25 and 45,065.25 is: 67,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086.25 : 45,065.25 = 45,065.25 : x
  2. Step 2: Convert to fraction form
    30,086.25/45,065.25 = 45,065.25/x
  3. Step 3: Cross multiply
    30,086.25x = 45,065.25 × 45,065.25
  4. Step 4: Simplify right side
    30,086.25x = 2,030,876,757.56
  5. Step 5: Solve for x
    x = 2,030,876,757.56/30,086.25
  6. Step 6: Final answer
    x = 67,501.82

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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.