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Finding the Third Proportional to 30,158 and 45,861

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Solution

The third proportional to 30,158 and 45,861 is: 69,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158 : 45,861 = 45,861 : x
  2. Step 2: Convert to fraction form
    30,158/45,861 = 45,861/x
  3. Step 3: Cross multiply
    30,158x = 45,861 × 45,861
  4. Step 4: Simplify right side
    30,158x = 2,103,231,321
  5. Step 5: Solve for x
    x = 2,103,231,321/30,158
  6. Step 6: Final answer
    x = 69,740.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.