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Finding the Third Proportional to 9,492.94 and 14,736.94

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Solution

The third proportional to 9,492.94 and 14,736.94 is: 22,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.94 : 14,736.94 = 14,736.94 : x
  2. Step 2: Convert to fraction form
    9,492.94/14,736.94 = 14,736.94/x
  3. Step 3: Cross multiply
    9,492.94x = 14,736.94 × 14,736.94
  4. Step 4: Simplify right side
    9,492.94x = 217,177,326.88
  5. Step 5: Solve for x
    x = 217,177,326.88/9,492.94
  6. Step 6: Final answer
    x = 22,877.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.