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Finding the Third Proportional to 12,308.06 and 27,000.84

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Solution

The third proportional to 12,308.06 and 27,000.84 is: 59,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.06 : 27,000.84 = 27,000.84 : x
  2. Step 2: Convert to fraction form
    12,308.06/27,000.84 = 27,000.84/x
  3. Step 3: Cross multiply
    12,308.06x = 27,000.84 × 27,000.84
  4. Step 4: Simplify right side
    12,308.06x = 729,045,563.21
  5. Step 5: Solve for x
    x = 729,045,563.21/12,308.06
  6. Step 6: Final answer
    x = 59,233.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.