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Finding the Third Proportional to 14,359.78 and 23,134.36

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Solution

The third proportional to 14,359.78 and 23,134.36 is: 37,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.78 : 23,134.36 = 23,134.36 : x
  2. Step 2: Convert to fraction form
    14,359.78/23,134.36 = 23,134.36/x
  3. Step 3: Cross multiply
    14,359.78x = 23,134.36 × 23,134.36
  4. Step 4: Simplify right side
    14,359.78x = 535,198,583.69
  5. Step 5: Solve for x
    x = 535,198,583.69/14,359.78
  6. Step 6: Final answer
    x = 37,270.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.