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Finding the Third Proportional to 7,527.38 and 11,492.44

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Solution

The third proportional to 7,527.38 and 11,492.44 is: 17,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.38 : 11,492.44 = 11,492.44 : x
  2. Step 2: Convert to fraction form
    7,527.38/11,492.44 = 11,492.44/x
  3. Step 3: Cross multiply
    7,527.38x = 11,492.44 × 11,492.44
  4. Step 4: Simplify right side
    7,527.38x = 132,076,119.69
  5. Step 5: Solve for x
    x = 132,076,119.69/7,527.38
  6. Step 6: Final answer
    x = 17,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.