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Finding the Third Proportional to 7,554.94 and 14,532.75

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Solution

The third proportional to 7,554.94 and 14,532.75 is: 27,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.94 : 14,532.75 = 14,532.75 : x
  2. Step 2: Convert to fraction form
    7,554.94/14,532.75 = 14,532.75/x
  3. Step 3: Cross multiply
    7,554.94x = 14,532.75 × 14,532.75
  4. Step 4: Simplify right side
    7,554.94x = 211,200,822.56
  5. Step 5: Solve for x
    x = 211,200,822.56/7,554.94
  6. Step 6: Final answer
    x = 27,955.34

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.