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Finding the Third Proportional to 30,319.31 and 45,900.42

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Solution

The third proportional to 30,319.31 and 45,900.42 is: 69,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.31 : 45,900.42 = 45,900.42 : x
  2. Step 2: Convert to fraction form
    30,319.31/45,900.42 = 45,900.42/x
  3. Step 3: Cross multiply
    30,319.31x = 45,900.42 × 45,900.42
  4. Step 4: Simplify right side
    30,319.31x = 2,106,848,728.30
  5. Step 5: Solve for x
    x = 2,106,848,728.30/30,319.31
  6. Step 6: Final answer
    x = 69,488.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.