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Finding the Third Proportional to 5,047.88 and 11,730.94

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Solution

The third proportional to 5,047.88 and 11,730.94 is: 27,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.88 : 11,730.94 = 11,730.94 : x
  2. Step 2: Convert to fraction form
    5,047.88/11,730.94 = 11,730.94/x
  3. Step 3: Cross multiply
    5,047.88x = 11,730.94 × 11,730.94
  4. Step 4: Simplify right side
    5,047.88x = 137,614,894.63
  5. Step 5: Solve for x
    x = 137,614,894.63/5,047.88
  6. Step 6: Final answer
    x = 27,261.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.