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Finding the Third Proportional to 29.81 and 64.06

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Solution

The third proportional to 29.81 and 64.06 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.81 : 64.06 = 64.06 : x
  2. Step 2: Convert to fraction form
    29.81/64.06 = 64.06/x
  3. Step 3: Cross multiply
    29.81x = 64.06 × 64.06
  4. Step 4: Simplify right side
    29.81x = 4,104.00
  5. Step 5: Solve for x
    x = 4,104.00/29.81
  6. Step 6: Final answer
    x = 137.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.