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Finding the Third Proportional to 14.63 and 28.77

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Solution

The third proportional to 14.63 and 28.77 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.63 : 28.77 = 28.77 : x
  2. Step 2: Convert to fraction form
    14.63/28.77 = 28.77/x
  3. Step 3: Cross multiply
    14.63x = 28.77 × 28.77
  4. Step 4: Simplify right side
    14.63x = 827.78
  5. Step 5: Solve for x
    x = 827.78/14.63
  6. Step 6: Final answer
    x = 56.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.