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Finding the Third Proportional to 49.13 and 53.63

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Solution

The third proportional to 49.13 and 53.63 is: 58.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 53.63 = 53.63 : x
  2. Step 2: Convert to fraction form
    49.13/53.63 = 53.63/x
  3. Step 3: Cross multiply
    49.13x = 53.63 × 53.63
  4. Step 4: Simplify right side
    49.13x = 2,875.64
  5. Step 5: Solve for x
    x = 2,875.64/49.13
  6. Step 6: Final answer
    x = 58.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.