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Finding the Third Proportional to 30,233.25 and 46,396.13

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Solution

The third proportional to 30,233.25 and 46,396.13 is: 71,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.25 : 46,396.13 = 46,396.13 : x
  2. Step 2: Convert to fraction form
    30,233.25/46,396.13 = 46,396.13/x
  3. Step 3: Cross multiply
    30,233.25x = 46,396.13 × 46,396.13
  4. Step 4: Simplify right side
    30,233.25x = 2,152,600,415.02
  5. Step 5: Solve for x
    x = 2,152,600,415.02/30,233.25
  6. Step 6: Final answer
    x = 71,199.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.