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Finding the Third Proportional to 56.25 and 66.38

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Solution

The third proportional to 56.25 and 66.38 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.25 : 66.38 = 66.38 : x
  2. Step 2: Convert to fraction form
    56.25/66.38 = 66.38/x
  3. Step 3: Cross multiply
    56.25x = 66.38 × 66.38
  4. Step 4: Simplify right side
    56.25x = 4,405.64
  5. Step 5: Solve for x
    x = 4,405.64/56.25
  6. Step 6: Final answer
    x = 78.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.