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Finding the Third Proportional to 12,335.63 and 27,014.63

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Solution

The third proportional to 12,335.63 and 27,014.63 is: 59,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.63 : 27,014.63 = 27,014.63 : x
  2. Step 2: Convert to fraction form
    12,335.63/27,014.63 = 27,014.63/x
  3. Step 3: Cross multiply
    12,335.63x = 27,014.63 × 27,014.63
  4. Step 4: Simplify right side
    12,335.63x = 729,789,963.89
  5. Step 5: Solve for x
    x = 729,789,963.89/12,335.63
  6. Step 6: Final answer
    x = 59,161.17

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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.