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Finding the Third Proportional to 12,336.61 and 27,133.03

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Solution

The third proportional to 12,336.61 and 27,133.03 is: 59,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.61 : 27,133.03 = 27,133.03 : x
  2. Step 2: Convert to fraction form
    12,336.61/27,133.03 = 27,133.03/x
  3. Step 3: Cross multiply
    12,336.61x = 27,133.03 × 27,133.03
  4. Step 4: Simplify right side
    12,336.61x = 736,201,384.81
  5. Step 5: Solve for x
    x = 736,201,384.81/12,336.61
  6. Step 6: Final answer
    x = 59,676.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.