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Finding the Third Proportional to 30,819.75 and 45,131.63

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Solution

The third proportional to 30,819.75 and 45,131.63 is: 66,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.75 : 45,131.63 = 45,131.63 : x
  2. Step 2: Convert to fraction form
    30,819.75/45,131.63 = 45,131.63/x
  3. Step 3: Cross multiply
    30,819.75x = 45,131.63 × 45,131.63
  4. Step 4: Simplify right side
    30,819.75x = 2,036,863,575.14
  5. Step 5: Solve for x
    x = 2,036,863,575.14/30,819.75
  6. Step 6: Final answer
    x = 66,089.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.