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Finding the Third Proportional to 56.64 and 85.27

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Solution

The third proportional to 56.64 and 85.27 is: 128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 85.27 = 85.27 : x
  2. Step 2: Convert to fraction form
    56.64/85.27 = 85.27/x
  3. Step 3: Cross multiply
    56.64x = 85.27 × 85.27
  4. Step 4: Simplify right side
    56.64x = 7,271.23
  5. Step 5: Solve for x
    x = 7,271.23/56.64
  6. Step 6: Final answer
    x = 128.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.