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Finding the Third Proportional to 30,645 and 43,365.38

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Solution

The third proportional to 30,645 and 43,365.38 is: 61,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 43,365.38 = 43,365.38 : x
  2. Step 2: Convert to fraction form
    30,645/43,365.38 = 43,365.38/x
  3. Step 3: Cross multiply
    30,645x = 43,365.38 × 43,365.38
  4. Step 4: Simplify right side
    30,645x = 1,880,555,748.89
  5. Step 5: Solve for x
    x = 1,880,555,748.89/30,645
  6. Step 6: Final answer
    x = 61,365.83

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.