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Finding the Third Proportional to 25.00 and 53.47

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Solution

The third proportional to 25.00 and 53.47 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.00 : 53.47 = 53.47 : x
  2. Step 2: Convert to fraction form
    25.00/53.47 = 53.47/x
  3. Step 3: Cross multiply
    25.00x = 53.47 × 53.47
  4. Step 4: Simplify right side
    25.00x = 2,859.32
  5. Step 5: Solve for x
    x = 2,859.32/25.00
  6. Step 6: Final answer
    x = 114.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.