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Finding the Third Proportional to 46.50 and 68.06

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Solution

The third proportional to 46.50 and 68.06 is: 99.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 68.06 = 68.06 : x
  2. Step 2: Convert to fraction form
    46.50/68.06 = 68.06/x
  3. Step 3: Cross multiply
    46.50x = 68.06 × 68.06
  4. Step 4: Simplify right side
    46.50x = 4,632.50
  5. Step 5: Solve for x
    x = 4,632.50/46.50
  6. Step 6: Final answer
    x = 99.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.