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Finding the Third Proportional to 46 and 55.63

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Solution

The third proportional to 46 and 55.63 is: 67.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 55.63 = 55.63 : x
  2. Step 2: Convert to fraction form
    46/55.63 = 55.63/x
  3. Step 3: Cross multiply
    46x = 55.63 × 55.63
  4. Step 4: Simplify right side
    46x = 3,094.14
  5. Step 5: Solve for x
    x = 3,094.14/46
  6. Step 6: Final answer
    x = 67.26

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.