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Finding the Third Proportional to 25.63 and 56.00

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Solution

The third proportional to 25.63 and 56.00 is: 122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.63 : 56.00 = 56.00 : x
  2. Step 2: Convert to fraction form
    25.63/56.00 = 56.00/x
  3. Step 3: Cross multiply
    25.63x = 56.00 × 56.00
  4. Step 4: Simplify right side
    25.63x = 3,136.44
  5. Step 5: Solve for x
    x = 3,136.44/25.63
  6. Step 6: Final answer
    x = 122.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.