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Finding the Third Proportional to 3,492.33 and 7,576.00

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Solution

The third proportional to 3,492.33 and 7,576.00 is: 16,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.33 : 7,576.00 = 7,576.00 : x
  2. Step 2: Convert to fraction form
    3,492.33/7,576.00 = 7,576.00/x
  3. Step 3: Cross multiply
    3,492.33x = 7,576.00 × 7,576.00
  4. Step 4: Simplify right side
    3,492.33x = 57,395,716.81
  5. Step 5: Solve for x
    x = 57,395,716.81/3,492.33
  6. Step 6: Final answer
    x = 16,434.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.