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Finding the Third Proportional to 15,142.50 and 23,243.63

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Solution

The third proportional to 15,142.50 and 23,243.63 is: 35,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.50 : 23,243.63 = 23,243.63 : x
  2. Step 2: Convert to fraction form
    15,142.50/23,243.63 = 23,243.63/x
  3. Step 3: Cross multiply
    15,142.50x = 23,243.63 × 23,243.63
  4. Step 4: Simplify right side
    15,142.50x = 540,266,103.14
  5. Step 5: Solve for x
    x = 540,266,103.14/15,142.50
  6. Step 6: Final answer
    x = 35,678.79

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Why These Related Problems?

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