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Finding the Third Proportional to 15,211.13 and 23,162.63

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Solution

The third proportional to 15,211.13 and 23,162.63 is: 35,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.13 : 23,162.63 = 23,162.63 : x
  2. Step 2: Convert to fraction form
    15,211.13/23,162.63 = 23,162.63/x
  3. Step 3: Cross multiply
    15,211.13x = 23,162.63 × 23,162.63
  4. Step 4: Simplify right side
    15,211.13x = 536,507,196.89
  5. Step 5: Solve for x
    x = 536,507,196.89/15,211.13
  6. Step 6: Final answer
    x = 35,270.71

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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.