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Finding the Third Proportional to 18,115.50 and 27,848.50

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Solution

The third proportional to 18,115.50 and 27,848.50 is: 42,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,115.50 : 27,848.50 = 27,848.50 : x
  2. Step 2: Convert to fraction form
    18,115.50/27,848.50 = 27,848.50/x
  3. Step 3: Cross multiply
    18,115.50x = 27,848.50 × 27,848.50
  4. Step 4: Simplify right side
    18,115.50x = 775,538,952.25
  5. Step 5: Solve for x
    x = 775,538,952.25/18,115.50
  6. Step 6: Final answer
    x = 42,810.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.