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Finding the Third Proportional to 29.06 and 65.64

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Solution

The third proportional to 29.06 and 65.64 is: 148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 65.64 = 65.64 : x
  2. Step 2: Convert to fraction form
    29.06/65.64 = 65.64/x
  3. Step 3: Cross multiply
    29.06x = 65.64 × 65.64
  4. Step 4: Simplify right side
    29.06x = 4,308.20
  5. Step 5: Solve for x
    x = 4,308.20/29.06
  6. Step 6: Final answer
    x = 148.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.