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Finding the Third Proportional to 23,095.13 and 30,835.69

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Solution

The third proportional to 23,095.13 and 30,835.69 is: 41,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.13 : 30,835.69 = 30,835.69 : x
  2. Step 2: Convert to fraction form
    23,095.13/30,835.69 = 30,835.69/x
  3. Step 3: Cross multiply
    23,095.13x = 30,835.69 × 30,835.69
  4. Step 4: Simplify right side
    23,095.13x = 950,839,623.60
  5. Step 5: Solve for x
    x = 950,839,623.60/23,095.13
  6. Step 6: Final answer
    x = 41,170.58

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.