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Finding the Third Proportional to 46.50 and 87.63

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Solution

The third proportional to 46.50 and 87.63 is: 165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 87.63 = 87.63 : x
  2. Step 2: Convert to fraction form
    46.50/87.63 = 87.63/x
  3. Step 3: Cross multiply
    46.50x = 87.63 × 87.63
  4. Step 4: Simplify right side
    46.50x = 7,678.14
  5. Step 5: Solve for x
    x = 7,678.14/46.50
  6. Step 6: Final answer
    x = 165.12

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.