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Finding the Third Proportional to 23,796.28 and 37,654.88

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Solution

The third proportional to 23,796.28 and 37,654.88 is: 59,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.28 : 37,654.88 = 37,654.88 : x
  2. Step 2: Convert to fraction form
    23,796.28/37,654.88 = 37,654.88/x
  3. Step 3: Cross multiply
    23,796.28x = 37,654.88 × 37,654.88
  4. Step 4: Simplify right side
    23,796.28x = 1,417,889,611.27
  5. Step 5: Solve for x
    x = 1,417,889,611.27/23,796.28
  6. Step 6: Final answer
    x = 59,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.