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Finding the Third Proportional to 46.50 and 102

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Solution

The third proportional to 46.50 and 102 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 102 = 102 : x
  2. Step 2: Convert to fraction form
    46.50/102 = 102/x
  3. Step 3: Cross multiply
    46.50x = 102 × 102
  4. Step 4: Simplify right side
    46.50x = 10,404
  5. Step 5: Solve for x
    x = 10,404/46.50
  6. Step 6: Final answer
    x = 223.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.