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Finding the Third Proportional to 46.69 and 77.63

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Solution

The third proportional to 46.69 and 77.63 is: 129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 77.63 = 77.63 : x
  2. Step 2: Convert to fraction form
    46.69/77.63 = 77.63/x
  3. Step 3: Cross multiply
    46.69x = 77.63 × 77.63
  4. Step 4: Simplify right side
    46.69x = 6,025.64
  5. Step 5: Solve for x
    x = 6,025.64/46.69
  6. Step 6: Final answer
    x = 129.06

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.