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Finding the Third Proportional to 25.63 and 53.16

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Solution

The third proportional to 25.63 and 53.16 is: 110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.63 : 53.16 = 53.16 : x
  2. Step 2: Convert to fraction form
    25.63/53.16 = 53.16/x
  3. Step 3: Cross multiply
    25.63x = 53.16 × 53.16
  4. Step 4: Simplify right side
    25.63x = 2,825.59
  5. Step 5: Solve for x
    x = 2,825.59/25.63
  6. Step 6: Final answer
    x = 110.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.