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Finding the Third Proportional to 23,009.06 and 30,405.38

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Solution

The third proportional to 23,009.06 and 30,405.38 is: 40,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.06 : 30,405.38 = 30,405.38 : x
  2. Step 2: Convert to fraction form
    23,009.06/30,405.38 = 30,405.38/x
  3. Step 3: Cross multiply
    23,009.06x = 30,405.38 × 30,405.38
  4. Step 4: Simplify right side
    23,009.06x = 924,486,828.89
  5. Step 5: Solve for x
    x = 924,486,828.89/23,009.06
  6. Step 6: Final answer
    x = 40,179.25

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.