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Finding the Third Proportional to 7,533.84 and 11,146.78

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Solution

The third proportional to 7,533.84 and 11,146.78 is: 16,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.84 : 11,146.78 = 11,146.78 : x
  2. Step 2: Convert to fraction form
    7,533.84/11,146.78 = 11,146.78/x
  3. Step 3: Cross multiply
    7,533.84x = 11,146.78 × 11,146.78
  4. Step 4: Simplify right side
    7,533.84x = 124,250,732.24
  5. Step 5: Solve for x
    x = 124,250,732.24/7,533.84
  6. Step 6: Final answer
    x = 16,492.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.